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5.2 Further Vector Calculus - #01 (Optional) Introduction to Stokes' and Gauss' Theorem

5.2 Further Vector Calculus - #01 (Optional) Introduction to Stokes' and Gauss' Theorem

5.1 Vector Calculus - #25 Example: Finding the Potential from a Field (Shortcut)

5.1 Vector Calculus - #25 Example: Finding the Potential from a Field (Shortcut)

5.1 Vector Calculus - #24 Finding the Potential from a Field

5.1 Vector Calculus - #24 Finding the Potential from a Field

5.1 Vector Calculus - #23 Example: Magnetic Field of a Wire is Solenoidal

5.1 Vector Calculus - #23 Example: Magnetic Field of a Wire is Solenoidal

5.1 Vector Calculus - #22 Solenoidal Fields

5.1 Vector Calculus - #22 Solenoidal Fields

5.1 Vector Calculus - #21 Irrotational Fields and Their Relation to Conservative Fields

5.1 Vector Calculus - #21 Irrotational Fields and Their Relation to Conservative Fields

5.1 Vector Calculus - #20 Circulation of a Conservative Field

5.1 Vector Calculus - #20 Circulation of a Conservative Field

5.1 Vector Calculus - #19 Line Integral of a Conservative Field

5.1 Vector Calculus - #19 Line Integral of a Conservative Field

5.1 Vector Calculus - #18 Visualization of Gravitational Field from a Potential

5.1 Vector Calculus - #18 Visualization of Gravitational Field from a Potential

5.1 Vector Calculus - #17 Example: Gravitational Field from a Potential

5.1 Vector Calculus - #17 Example: Gravitational Field from a Potential

5.1 Vector Calculus - #16 Conservative Fields: Derivation from a Potential

5.1 Vector Calculus - #16 Conservative Fields: Derivation from a Potential

5.1 Vector Calculus - #15 Vector Calculus Identities

5.1 Vector Calculus - #15 Vector Calculus Identities

5.1 Vector Calculus - #14 Formal Definition of Curl

5.1 Vector Calculus - #14 Formal Definition of Curl

5.1 Vector Calculus - #13 Formal Definition of Divergence

5.1 Vector Calculus - #13 Formal Definition of Divergence

5.1 Vector Calculus - #12 Example: Calculation of Divergence and Curl

5.1 Vector Calculus - #12 Example: Calculation of Divergence and Curl

5.1 Vector Calculus - #11 The 3D Curl

5.1 Vector Calculus - #11 The 3D Curl

5.1 Vector Calculus - #10 The 2D Curl: Calculation and Interpretation

5.1 Vector Calculus - #10 The 2D Curl: Calculation and Interpretation

5.1 Vector Calculus - #09 The Divergence: Calculation and Interpretation

5.1 Vector Calculus - #09 The Divergence: Calculation and Interpretation

5.1 Vector Calculus - #08 Slope of a Scalar in a Given Direction

5.1 Vector Calculus - #08 Slope of a Scalar in a Given Direction

5.1 Vector Calculus - #07 The Directional Derivative

5.1 Vector Calculus - #07 The Directional Derivative

5.1 Vector Calculus - #06 Interactive Gradient Examples

5.1 Vector Calculus - #06 Interactive Gradient Examples

5.1 Vector Calculus - #05 The Gradient: Calculation and Interpretation

5.1 Vector Calculus - #05 The Gradient: Calculation and Interpretation

5.1 Vector Calculus - #04 Calculation of Gradient, Divergence, and Curl

5.1 Vector Calculus - #04 Calculation of Gradient, Divergence, and Curl

5.1 Vector Calculus - #03 Say Hello to 'Nabla'

5.1 Vector Calculus - #03 Say Hello to 'Nabla'

5.1 Vector Calculus - #02 Scalar and Vector Fields

5.1 Vector Calculus - #02 Scalar and Vector Fields

5.1 Vector Calculus - #01 Topic Induction

5.1 Vector Calculus - #01 Topic Induction

4.3 Line Integrals - #22 (Optional) Numerical Example of Circulation in Physics

4.3 Line Integrals - #22 (Optional) Numerical Example of Circulation in Physics

4.3 Line Integrals - #21 Example: Circulation of Field Over Three Segments

4.3 Line Integrals - #21 Example: Circulation of Field Over Three Segments

4.3 Line Integrals - #20 Circulation of a Field

4.3 Line Integrals - #20 Circulation of a Field

4.3 Line Integrals - #19 Example Problem

4.3 Line Integrals - #19 Example Problem

4.3 Line Integrals - #18 Alternative Notation Fx dx + Fy dy + Fz dz

4.3 Line Integrals - #18 Alternative Notation Fx dx + Fy dy + Fz dz

4.3 Line Integrals - #17 Example Problem

4.3 Line Integrals - #17 Example Problem

4.3 Line Integrals - #16 Step-by-Step Recipe for Line Integral of Vector Field

4.3 Line Integrals - #16 Step-by-Step Recipe for Line Integral of Vector Field

4.3 Line Integrals - #15 Visual Intuition for Line Integral of Vector Field

4.3 Line Integrals - #15 Visual Intuition for Line Integral of Vector Field

4.3 Line Integrals - #14 Methods for Finding Differential Displacement Vector

4.3 Line Integrals - #14 Methods for Finding Differential Displacement Vector

4.3 Line Integrals - #13 Application: Calculating Work Done by a Force Over a Curve

4.3 Line Integrals - #13 Application: Calculating Work Done by a Force Over a Curve

4.3 Line Integrals - #12 Introduction to Line Integral of Vector Field

4.3 Line Integrals - #12 Introduction to Line Integral of Vector Field

4.3 Line Integrals - #11 Example: Line Integral Along Straight Line

4.3 Line Integrals - #11 Example: Line Integral Along Straight Line

4.3 Line Integrals - #10 Example: Length of Logarithmic Spiral

4.3 Line Integrals - #10 Example: Length of Logarithmic Spiral

4.3 Line Integrals - #09 Example: Circumference of Circle

4.3 Line Integrals - #09 Example: Circumference of Circle

4.3 Line Integrals - #08 Step-by-Step Recipe for Line Integrals

4.3 Line Integrals - #08 Step-by-Step Recipe for Line Integrals

4.3 Line Integrals - #07 Applications of Line Integrals

4.3 Line Integrals - #07 Applications of Line Integrals

4.3 Line Integrals - #06 Better Interpretation of Line Integrals

4.3 Line Integrals - #06 Better Interpretation of Line Integrals

4.3 Line Integrals - #05 Line integral Interpretation as Area Under the Curve

4.3 Line Integrals - #05 Line integral Interpretation as Area Under the Curve

4.3 Line Integrals - #04 Line Integral Definition as a Riemann Sum

4.3 Line Integrals - #04 Line Integral Definition as a Riemann Sum

4.3 Line Integrals - #03 Derivative: Tangent to the Curve

4.3 Line Integrals - #03 Derivative: Tangent to the Curve

4.3 Line Integrals - #02 Parametric Curves

4.3 Line Integrals - #02 Parametric Curves

4.3 Line Integrals - #01 Topic Induction

4.3 Line Integrals - #01 Topic Induction

4.2 Surface Integrals - #23 Difficult Flux Integral: Problem

4.2 Surface Integrals - #23 Difficult Flux Integral: Problem

4.2 Surface Integrals - #22 Flow of Water in a Pipe: Problem

4.2 Surface Integrals - #22 Flow of Water in a Pipe: Problem

4.2 Surface Integrals - #21 Note About the Sign of dS and Integration Over Closed Surfaces

4.2 Surface Integrals - #21 Note About the Sign of dS and Integration Over Closed Surfaces

4.2 Surface Integrals - #20 Step-by-Step Recipe for Calculating Flux Integrals

4.2 Surface Integrals - #20 Step-by-Step Recipe for Calculating Flux Integrals

4.2 Surface Integrals - #19 Flux Integral and Surface Differential Vector dS

4.2 Surface Integrals - #19 Flux Integral and Surface Differential Vector dS

4.2 Surface Integrals - #17 Surface Integral of a Vector Function: Non-Constant Basis Vectors

4.2 Surface Integrals - #17 Surface Integral of a Vector Function: Non-Constant Basis Vectors

4.2 Surface Integrals - #16 Surface Integral of a Vector Function

4.2 Surface Integrals - #16 Surface Integral of a Vector Function

4.2 Surface Integrals - #15 Surface Integral Example: Problem

4.2 Surface Integrals - #15 Surface Integral Example: Problem

4.2 Surface Integrals - #14 Step-by-Step Recipe for Surface Integrals

4.2 Surface Integrals - #14 Step-by-Step Recipe for Surface Integrals

4.2 Surface Integrals - #13 Meaning and Applications of Surface Integrals

4.2 Surface Integrals - #13 Meaning and Applications of Surface Integrals

4.2 Surface Integrals - #12 Calculating the Surface Area of a Cone: Problem

4.2 Surface Integrals - #12 Calculating the Surface Area of a Cone: Problem

4.2 Surface Integrals - #11 Parametrising a Surface Given as z = f(x,y)

4.2 Surface Integrals - #11 Parametrising a Surface Given as z = f(x,y)

4.2 Surface Integrals - #10 Finding dS of a Cylinder: Mathematical Recipe Problems

4.2 Surface Integrals - #10 Finding dS of a Cylinder: Mathematical Recipe Problems

4.2 Surface Integrals - #09 Finding dS: Mathematical Recipe

4.2 Surface Integrals - #09 Finding dS: Mathematical Recipe

4.2 Surface Integrals - #08 Finding dS: Table Method

4.2 Surface Integrals - #08 Finding dS: Table Method

4.2 Surface Integrals - #07 Finding dS of a Sphere: Geometrical Intuition Method Problem

4.2 Surface Integrals - #07 Finding dS of a Sphere: Geometrical Intuition Method Problem

4.2 Surface Integrals - #06 Finding dS by Geometrical Intuition

4.2 Surface Integrals - #06 Finding dS by Geometrical Intuition

4.2 Surface Integrals - #05 Introduction to Surface Integrals

4.2 Surface Integrals - #05 Introduction to Surface Integrals

4.2 Surface Integrals - #04 Tangent Vectors and Normal Vector to a Surface

4.2 Surface Integrals - #04 Tangent Vectors and Normal Vector to a Surface

4.2 Surface Integrals - #03 Parametrised Surface Clarification: Limits of the Parameters

4.2 Surface Integrals - #03 Parametrised Surface Clarification: Limits of the Parameters

4.2 Surface Integrals - #02 Parametrised Surfaces

4.2 Surface Integrals - #02 Parametrised Surfaces

4.2 Surface Integrals - #01 Topic Induction

4.2 Surface Integrals - #01 Topic Induction

4.1 Multiple Integration - #30 Calculating a Volume of Arbitrary Shapes: Problem

4.1 Multiple Integration - #30 Calculating a Volume of Arbitrary Shapes: Problem

4.1 Multiple Integration - #29 The Volume of a Sphere: Problem (Archimedes Envies Us)

4.1 Multiple Integration - #29 The Volume of a Sphere: Problem (Archimedes Envies Us)

4.1 Multiple Integration - #28 Finding dV in Spherical Coordinates

4.1 Multiple Integration - #28 Finding dV in Spherical Coordinates

4.1 Multiple Integration - #27 Change of Variables/Coordinates in Triple Integration

4.1 Multiple Integration - #27 Change of Variables/Coordinates in Triple Integration

4.1 Multiple Integration - #26 The Mass of a Disk: Problem

4.1 Multiple Integration - #26 The Mass of a Disk: Problem

4.1 Multiple Integration - #25 The Area of a Circle: Problem

4.1 Multiple Integration - #25 The Area of a Circle: Problem

4.1 Multiple Integration - #24 Finding dA in New Coordinates: Jacobian Determinant Method

4.1 Multiple Integration - #24 Finding dA in New Coordinates: Jacobian Determinant Method

4.1 Multiple Integration - #23 Finding dA in New Coordinates: Geometrical Intuition Method

4.1 Multiple Integration - #23 Finding dA in New Coordinates: Geometrical Intuition Method

4.1 Multiple Integration - #21 Change of Variables/Coordinates in Double Integration

4.1 Multiple Integration - #21 Change of Variables/Coordinates in Double Integration

4.1 Multiple Integration - #22 Finding dA in New Coordinates: Outline of Methods

4.1 Multiple Integration - #22 Finding dA in New Coordinates: Outline of Methods

4.1 Multiple Integration - #20 Triple Integrals in Non-Rectangular Regions: Example Problem

4.1 Multiple Integration - #20 Triple Integrals in Non-Rectangular Regions: Example Problem

4.1 Multiple Integration - #19 Triple Integrals in Non-Rectangular Regions: Explanation

4.1 Multiple Integration - #19 Triple Integrals in Non-Rectangular Regions: Explanation

4.1 Multiple Integration - #18 Double Integrals in Non-Rectangular Regions: Another Example Problem

4.1 Multiple Integration - #18 Double Integrals in Non-Rectangular Regions: Another Example Problem

4.1 Multiple Integration - #17 Double Integrals in Non-Rectangular Regions: Example Problem

4.1 Multiple Integration - #17 Double Integrals in Non-Rectangular Regions: Example Problem

4.1 Multiple Integration - #16 Double Integrals in Non-Rectangular Regions: Explanation

4.1 Multiple Integration - #16 Double Integrals in Non-Rectangular Regions: Explanation

4.1 Multiple Integration - #15 Example Problem 2: Mass and Centre of Mass

4.1 Multiple Integration - #15 Example Problem 2: Mass and Centre of Mass

4.1 Multiple Integration - #14 Clarification: Area vs Volume in Double vs Triple Integrals

4.1 Multiple Integration - #14 Clarification: Area vs Volume in Double vs Triple Integrals

4.1 Multiple Integration - #13 Triple Integration: Applications and Intuitive Understanding

4.1 Multiple Integration - #13 Triple Integration: Applications and Intuitive Understanding

4.1 Multiple Integration - #12 Triple Integration: Definition and Calculation

4.1 Multiple Integration - #12 Triple Integration: Definition and Calculation

4.1 Multiple Integration - #11 Calculation of Weighted Averages and Centres of Mass

4.1 Multiple Integration - #11 Calculation of Weighted Averages and Centres of Mass

4.1 Multiple Integration - #10 Physical Interpretation of Double Integrals

4.1 Multiple Integration - #10 Physical Interpretation of Double Integrals

4.1 Multiple Integration - #09 Separation of Iterated Integrals

4.1 Multiple Integration - #09 Separation of Iterated Integrals

4.1 Multiple Integration - #08 Iterated Integrals: Another Example Problem

4.1 Multiple Integration - #08 Iterated Integrals: Another Example Problem

4.1 Multiple Integration - #07 Iterated Integrals: Example Problem

4.1 Multiple Integration - #07 Iterated Integrals: Example Problem

4.1 Multiple Integration - #06 Fubini's Theorem: Formal Explanation

4.1 Multiple Integration - #06 Fubini's Theorem: Formal Explanation

4.1 Multiple Integration - #05 Refreshing the Fundamental Theorem of Calculus

4.1 Multiple Integration - #05 Refreshing the Fundamental Theorem of Calculus

4.1 Multiple Integration - #04 Fubini's Theorem: Intuitive & Visual Explanation

4.1 Multiple Integration - #04 Fubini's Theorem: Intuitive & Visual Explanation

4.1 Multiple Integration - #01 Topic Induction

4.1 Multiple Integration - #01 Topic Induction

4.1 Multiple Integration - #03 Double Integrals: Riemann Sums

4.1 Multiple Integration - #03 Double Integrals: Riemann Sums

4.1 Multiple Integration - #02 Revision of 1D Integrals

4.1 Multiple Integration - #02 Revision of 1D Integrals

3.3 Partial Differentiation - #19 The Jacobian Determinant

3.3 Partial Differentiation - #19 The Jacobian Determinant

3.3 Partial Differentiation - #18 Best Linear Approximation to a Vector Function - N-D Case

3.3 Partial Differentiation - #18 Best Linear Approximation to a Vector Function - N-D Case

3.3 Partial Differentiation - #17 Best Linear Approximation to a Vector Function - Refresh 1D Case

3.3 Partial Differentiation - #17 Best Linear Approximation to a Vector Function - Refresh 1D Case

3.3 Partial Differentiation - #16 The Jacobian Matrix: Further Intuition & Context

3.3 Partial Differentiation - #16 The Jacobian Matrix: Further Intuition & Context

3.3 Partial Differentiation - #15 The Jacobian Matrix: The Derivative in N-Dimensions

3.3 Partial Differentiation - #15 The Jacobian Matrix: The Derivative in N-Dimensions

3.3 Partial Differentiation - #14 Stationary Points in 2D: Example Problem

3.3 Partial Differentiation - #14 Stationary Points in 2D: Example Problem

3.3 Partial Differentiation - #13 Stationary Points in 2D: Classifying Stationary Points

3.3 Partial Differentiation - #13 Stationary Points in 2D: Classifying Stationary Points

3.3 Partial Differentiation - #12 Stationary Points in 2D: Note on the Sign of Second Order Term

3.3 Partial Differentiation - #12 Stationary Points in 2D: Note on the Sign of Second Order Term

3.3 Partial Differentiation - #11 Stationary Points in 2D: Taylor Expansion in 2D

3.3 Partial Differentiation - #11 Stationary Points in 2D: Taylor Expansion in 2D

3.3 Partial Differentiation - #10 Stationary Points in 2D: Finding Stationary Points

3.3 Partial Differentiation - #10 Stationary Points in 2D: Finding Stationary Points

3.3 Partial Differentiation - #09 Stationary Points in 2D: Refreshing the 1D Case

3.3 Partial Differentiation - #09 Stationary Points in 2D: Refreshing the 1D Case

3.3 Partial Differentiation - #08 Total Differential: Example Problem

3.3 Partial Differentiation - #08 Total Differential: Example Problem

3.3 Partial Differentiation - #07 Total Differential: Theory

3.3 Partial Differentiation - #07 Total Differential: Theory

3.3 Partial Differentiation - #06 Calculating Partial Derivatives: Example Problem

3.3 Partial Differentiation - #06 Calculating Partial Derivatives: Example Problem

3.3 Partial Differentiation - #05 Second Order Partial Derivatives

3.3 Partial Differentiation - #05 Second Order Partial Derivatives

3.3 Partial Differentiation - #04 The Partial Derivative is Still a Function

3.3 Partial Differentiation - #04 The Partial Derivative is Still a Function

3.3 Partial Differentiation - #03 Two-Dimensional Case f(x,y) and Formal Definition

3.3 Partial Differentiation - #03 Two-Dimensional Case f(x,y) and Formal Definition

3.3 Partial Differentiation - #02 Multiple Variables as Input

3.3 Partial Differentiation - #02 Multiple Variables as Input

3.3 Partial Differentiation - #01 Topic Induction

3.3 Partial Differentiation - #01 Topic Induction

3.2 Vector Differentials - #05 Differentiating Dot and Cross Product

3.2 Vector Differentials - #05 Differentiating Dot and Cross Product

3.2 Vector Differentials - #04 Differential of a Vector

3.2 Vector Differentials - #04 Differential of a Vector

3.2 Vector Differentials - #03 Differentiation of Vectors and Its Significance

3.2 Vector Differentials - #03 Differentiation of Vectors and Its Significance

3.2 Vector Differentials - #01 Topic Induction

3.2 Vector Differentials - #01 Topic Induction

3.2 Vector Differentials - #02 Integration of Vectors and Its Significance

3.2 Vector Differentials - #02 Integration of Vectors and Its Significance

3.1 Coordinates & Fields - #11 Note: Changing Coordinates is NOT Changing Basis of Position Vector

3.1 Coordinates & Fields - #11 Note: Changing Coordinates is NOT Changing Basis of Position Vector

3.1 Coordinates & Fields - #10 Example Problem - Changing Coordinates and Basis

3.1 Coordinates & Fields - #10 Example Problem - Changing Coordinates and Basis

3.1 Coordinates & Fields - #09 Changing the Basis of a Field

3.1 Coordinates & Fields - #09 Changing the Basis of a Field

3.1 Coordinates & Fields - #08 Changing the Coordinates of a Field

3.1 Coordinates & Fields - #08 Changing the Coordinates of a Field

3.1 Coordinates & Fields - #07 Scalar and Vector Fields

3.1 Coordinates & Fields - #07 Scalar and Vector Fields

3.1 Coordinates & Fields - #06 Polar, Cylindrical, and Spherical Basis Vectors

3.1 Coordinates & Fields - #06 Polar, Cylindrical, and Spherical Basis Vectors

3.1 Coordinates & Fields - #05 Example Surfaces and Curves in Spherical and Cylindrical Coordinates

3.1 Coordinates & Fields - #05 Example Surfaces and Curves in Spherical and Cylindrical Coordinates

3.1 Coordinates & Fields - #04 Cylindrical and Spherical Coordinates (3D)

3.1 Coordinates & Fields - #04 Cylindrical and Spherical Coordinates (3D)

3.1 Coordinates & Fields - #03 Example Curves in Polar Coordinates

3.1 Coordinates & Fields - #03 Example Curves in Polar Coordinates

3.1 Coordinates & Fields - #02 Polar Coordinates in 2D

3.1 Coordinates & Fields - #02 Polar Coordinates in 2D

3.1 Coordinates & Fields - #01 Topic Induction

3.1 Coordinates & Fields - #01 Topic Induction

2.4 Eigenvalues & Eigenvectors - #06 Calculation: Long 3x3 Example

2.4 Eigenvalues & Eigenvectors - #06 Calculation: Long 3x3 Example

2.4 Eigenvalues & Eigenvectors - #22 Theorems for Quantum Mechanics

2.4 Eigenvalues & Eigenvectors - #22 Theorems for Quantum Mechanics

2.4 Eigenvalues & Eigenvectors - #21 Functions of Matrices & Example

2.4 Eigenvalues & Eigenvectors - #21 Functions of Matrices & Example

2.4 Eigenvalues & Eigenvectors - #20 Problem: Raising a Matrix to a Power

2.4 Eigenvalues & Eigenvectors - #20 Problem: Raising a Matrix to a Power

2.4 Eigenvalues & Eigenvectors - #19 Advantages of Diagonal Matrices

2.4 Eigenvalues & Eigenvectors - #19 Advantages of Diagonal Matrices

2.4 Eigenvalues & Eigenvectors - #18 Diagonalizable Matrices

2.4 Eigenvalues & Eigenvectors - #18 Diagonalizable Matrices

2.4 Eigenvalues & Eigenvectors - #14 Changing the Basis of a Matrix: Theory

2.4 Eigenvalues & Eigenvectors - #14 Changing the Basis of a Matrix: Theory

2.4 Eigenvalues & Eigenvectors - #17 Diagonalization Using Eigenbasis

2.4 Eigenvalues & Eigenvectors - #17 Diagonalization Using Eigenbasis

2.4 Eigenvalues & Eigenvectors - #16 Changing the Basis of a Matrix: Example

2.4 Eigenvalues & Eigenvectors - #16 Changing the Basis of a Matrix: Example

2.4 Eigenvalues & Eigenvectors - #15 Similarity Transformations

2.4 Eigenvalues & Eigenvectors - #15 Similarity Transformations

2.4 Eigenvalues & Eigenvectors - #13 Change-of-Basis Matrix: Example

2.4 Eigenvalues & Eigenvectors - #13 Change-of-Basis Matrix: Example

2.4 Eigenvalues & Eigenvectors - #12 Change-of-Basis Matrix: Theory

2.4 Eigenvalues & Eigenvectors - #12 Change-of-Basis Matrix: Theory

2.4 Eigenvalues & Eigenvectors - #11 Proofs for Hermitian & Unitary Matrices

2.4 Eigenvalues & Eigenvectors - #11 Proofs for Hermitian & Unitary Matrices

2.4 Eigenvalues & Eigenvectors - #10 Hermitian & Unitary Matrices

2.4 Eigenvalues & Eigenvectors - #10 Hermitian & Unitary Matrices

2.4 Eigenvalues & Eigenvectors - #09 Proofs of the Above

2.4 Eigenvalues & Eigenvectors - #09 Proofs of the Above

2.4 Eigenvalues & Eigenvectors - #08 Determinant & Trace Relations

2.4 Eigenvalues & Eigenvectors - #08 Determinant & Trace Relations

2.4 Eigenvalues & Eigenvectors - #07 Degenerate Eigenvalues & Multiplicities

2.4 Eigenvalues & Eigenvectors - #07 Degenerate Eigenvalues & Multiplicities

2.4 Eigenvalues & Eigenvectors - #05 Calculation: Another Example

2.4 Eigenvalues & Eigenvectors - #05 Calculation: Another Example

2.4 Eigenvalues & Eigenvectors - #04 Calculation: Example

2.4 Eigenvalues & Eigenvectors - #04 Calculation: Example

2.4 Eigenvalues & Eigenvectors - #03 Calculation: Theory

2.4 Eigenvalues & Eigenvectors - #03 Calculation: Theory

2.4 Eigenvalues & Eigenvectors - #02 Definition & Intuition

2.4 Eigenvalues & Eigenvectors - #02 Definition & Intuition

2.4 Eigenvalues & Eigenvectors - #01 Topic Induction

2.4 Eigenvalues & Eigenvectors - #01 Topic Induction

2.3 Linear Systems of Eqs - #07 Gaussian Elimination: Finding solutions for x

2.3 Linear Systems of Eqs - #07 Gaussian Elimination: Finding solutions for x

2.3 Linear Systems of Eqs - #15 Example: Range & Null Space Using Gaussian Elimination

2.3 Linear Systems of Eqs - #15 Example: Range & Null Space Using Gaussian Elimination

2.3 Linear Systems of Eqs - #12 Gaussian Elimination: Example Lines & Planes

2.3 Linear Systems of Eqs - #12 Gaussian Elimination: Example Lines & Planes

2.3 Linear Systems of Eqs - #14 Solving Range & Null Space Using Gaussian Elimination

2.3 Linear Systems of Eqs - #14 Solving Range & Null Space Using Gaussian Elimination

2.3 Linear Systems of Eqs - #08 Gaussian Elimination: Gaussian Steps

2.3 Linear Systems of Eqs - #08 Gaussian Elimination: Gaussian Steps

2.3 Linear Systems of Eqs - #13 Computational Solving

2.3 Linear Systems of Eqs - #13 Computational Solving

2.3 Linear Systems of Eqs - #06 Gaussian Elimination: Column Properties

2.3 Linear Systems of Eqs - #06 Gaussian Elimination: Column Properties

2.3 Linear Systems of Eqs - #11 Gaussian Elimination: Example with Complex Matrix

2.3 Linear Systems of Eqs - #11 Gaussian Elimination: Example with Complex Matrix

2.3 Linear Systems of Eqs - #10 Gaussian Elimination: Additional Comments

2.3 Linear Systems of Eqs - #10 Gaussian Elimination: Additional Comments

2.3 Linear Systems of Eqs - #09 Gaussian Elimination: Example

2.3 Linear Systems of Eqs - #09 Gaussian Elimination: Example

2.3 Linear Systems of Eqs - #05 Gaussian Elimination: Row Echelon Form & Pivots

2.3 Linear Systems of Eqs - #05 Gaussian Elimination: Row Echelon Form & Pivots

2.3 Linear Systems of Eqs - #04 Gaussian Elimination: Augmented Matrix

2.3 Linear Systems of Eqs - #04 Gaussian Elimination: Augmented Matrix

2.3 Linear Systems of Eqs - #03 Gaussian Elimination: Motivation

2.3 Linear Systems of Eqs - #03 Gaussian Elimination: Motivation

2.3 Linear Systems of Eqs - #02 Writing System as a Matrix-Vector Multiplication

2.3 Linear Systems of Eqs - #02 Writing System as a Matrix-Vector Multiplication

2.3 Linear Systems of Eqs - #01 Topic Induction

2.3 Linear Systems of Eqs - #01 Topic Induction

2.2 Matrix Inverse & Spaces - #11 Problem: Range and Null Space

2.2 Matrix Inverse & Spaces - #11 Problem: Range and Null Space

2.2 Matrix Inverse & Spaces - #10 Null Space Always Added to the General Solution

2.2 Matrix Inverse & Spaces - #10 Null Space Always Added to the General Solution

2.2 Matrix Inverse & Spaces - #09 Range and Null Space of a Matrix: Example

2.2 Matrix Inverse & Spaces - #09 Range and Null Space of a Matrix: Example

2.2 Matrix Inverse & Spaces - #08 Theorem of Dimensions

2.2 Matrix Inverse & Spaces - #08 Theorem of Dimensions

2.2 Matrix Inverse & Spaces - #07 Range and Null Space of a Matrix: Intuition

2.2 Matrix Inverse & Spaces - #07 Range and Null Space of a Matrix: Intuition

2.2 Matrix Inverse & Spaces - #06 Singular Matrices Have No Inverse

2.2 Matrix Inverse & Spaces - #06 Singular Matrices Have No Inverse

2.2 Matrix Inverse & Spaces - #05 Using Venn Diagrams to Represent Vector Spaces

2.2 Matrix Inverse & Spaces - #05 Using Venn Diagrams to Represent Vector Spaces

2.2 Matrix Inverse & Spaces - #04 Inverse of Unitary Matrices

2.2 Matrix Inverse & Spaces - #04 Inverse of Unitary Matrices

2.2 Matrix Inverse & Spaces - #03 Matrix Inverse: General Recipe

2.2 Matrix Inverse & Spaces - #03 Matrix Inverse: General Recipe

2.2 Matrix Inverse & Spaces - #02 Concept of Inverse Transformation

2.2 Matrix Inverse & Spaces - #02 Concept of Inverse Transformation

2.2 Matrix Inverse & Spaces - #01 Topic Induction

2.2 Matrix Inverse & Spaces - #01 Topic Induction

2.1 Matrices Intro - #23 Matrix Determinant: Properties Related to Columns

2.1 Matrices Intro - #23 Matrix Determinant: Properties Related to Columns

2.1 Matrices Intro - #22 Matrix Determinant: General Properties

2.1 Matrices Intro - #22 Matrix Determinant: General Properties

2.1 Matrices Intro - #21 Matrix Determinant: Diagonal & Triangular Matrices

2.1 Matrices Intro - #21 Matrix Determinant: Diagonal & Triangular Matrices

2.1 Matrices Intro - #20 Matrix Determinant: 4x4 Matrix Example

2.1 Matrices Intro - #20 Matrix Determinant: 4x4 Matrix Example

2.1 Matrices Intro - #19 Matrix Determinant: NxN Matrices - Laplace Expansion

2.1 Matrices Intro - #19 Matrix Determinant: NxN Matrices - Laplace Expansion

2.1 Matrices Intro - #18 Matrix Determinant: 2x2 & 3x3 Matrices - Rule of Sarrus

2.1 Matrices Intro - #18 Matrix Determinant: 2x2 & 3x3 Matrices - Rule of Sarrus

2.1 Matrices Intro - #17 Matrix Trace

2.1 Matrices Intro - #17 Matrix Trace

2.1 Matrices Intro - #16 Proofs for Unitary Matrices

2.1 Matrices Intro - #16 Proofs for Unitary Matrices

2.1 Matrices Intro - #15 Unitary Matrices

2.1 Matrices Intro - #15 Unitary Matrices

2.1 Matrices Intro - #14 Matrix Hermitian Conjugate

2.1 Matrices Intro - #14 Matrix Hermitian Conjugate

2.1 Matrices Intro - #13 Matrix Transpose

2.1 Matrices Intro - #13 Matrix Transpose

2.1 Matrices Intro - #12 Matrix Multiplication: Properties

2.1 Matrices Intro - #12 Matrix Multiplication: Properties

2.1 Matrices Intro - #11 Matrix Multiplication: Non-Commutation

2.1 Matrices Intro - #11 Matrix Multiplication: Non-Commutation

2.1 Matrices Intro - #10 Matrix Multiplication: Non-Square Matrices

2.1 Matrices Intro - #10 Matrix Multiplication: Non-Square Matrices

2.1 Matrices Intro - #09 Matrix Multiplication: How to Do It

2.1 Matrices Intro - #09 Matrix Multiplication: How to Do It

2.1 Matrices Intro - #08 Matrix Addition & Multiplication: Meaning

2.1 Matrices Intro - #08 Matrix Addition & Multiplication: Meaning

2.1 Matrices Intro - #07 Linear Transformation Example (Derivative of Polynomials)

2.1 Matrices Intro - #07 Linear Transformation Example (Derivative of Polynomials)