Канал: Almashaleh Math

Kernel and Range of Linear Transformations

Kernel and Range of Linear Transformations

Finding Linear Transformations from Images of Basis Vectors

Finding Linear Transformations from Images of Basis Vectors

Some Types of Linear Transformations

Some Types of Linear Transformations

Matrix Transformations

Matrix Transformations

Properties of Linear Transformations

Properties of Linear Transformations

Linear Transformations Definition

Linear Transformations Definition

Theorems on Orthonormal Bases Part(4/4)

Theorems on Orthonormal Bases Part(4/4)

Theorems on Orthonormal Bases Part(3/4)

Theorems on Orthonormal Bases Part(3/4)

Theorems on Orthonormal Bases Part(2/4)

Theorems on Orthonormal Bases Part(2/4)

Theorems on Orthonormal Bases Part(1/4)

Theorems on Orthonormal Bases Part(1/4)

Orthonormal Bases

Orthonormal Bases

Orthonormal Sets

Orthonormal Sets

Properties of Distance

Properties of Distance

Properties of Length

Properties of Length

Cauchy Schwarz Inequality

Cauchy Schwarz Inequality

Properties of Inner Products

Properties of Inner Products

Inner Products on Polynomials P2 and Continuous Functions C[a,b]

Inner Products on Polynomials P2 and Continuous Functions C[a,b]

Inner Products Generated by Matrices

Inner Products Generated by Matrices

Inner Products on Matrices M22

Inner Products on Matrices M22

Length and Distance in Inner Product Spaces

Length and Distance in Inner Product Spaces

Inner Products Spaces

Inner Products Spaces

Diagonalization Part(3/3)

Diagonalization Part(3/3)

Diagonalization Part(2/3)

Diagonalization Part(2/3)

Eigenvalues and Eigenvectors Part(3/3)

Eigenvalues and Eigenvectors Part(3/3)

Eigenvalues and Eigenvectors Part(2/3)

Eigenvalues and Eigenvectors Part(2/3)

Theorems on Determinants Part(2/3)

Theorems on Determinants Part(2/3)

Theorems on Determinants Part(3/3)

Theorems on Determinants Part(3/3)

Theorems on Determinants Part(1/3)

Theorems on Determinants Part(1/3)

Rank and Nullity Part(2/2)

Rank and Nullity Part(2/2)

Rank and Nullity Part(1/2)

Rank and Nullity Part(1/2)

Bases for Row Spaces and Column Spaces Part(1/2)

Bases for Row Spaces and Column Spaces Part(1/2)

Bases for Row Spaces and Column Spaces Part(2/2)

Bases for Row Spaces and Column Spaces Part(2/2)

Consistent and Inconsistent Systems of Linear Equations P(2/2)

Consistent and Inconsistent Systems of Linear Equations P(2/2)

Consistent and Inconsistent Systems of Linear Equations P(1/2)

Consistent and Inconsistent Systems of Linear Equations P(1/2)

Row Space ,Column Space ,and Nullspace

Row Space ,Column Space ,and Nullspace

Multiplying a Matrix by Another Matrix

Multiplying a Matrix by Another Matrix

Algebra of Matrices - Multiplication

Algebra of Matrices - Multiplication

Identity Matrix

Identity Matrix

Definition of Matrix and Adding of Matrices

Definition of Matrix and Adding of Matrices

Algebra of Matrices - Addition

Algebra of Matrices - Addition

Images and Inverse Images of Sets

Images and Inverse Images of Sets

Compositions of Functions One to One and Onto

Compositions of Functions One to One and Onto

Definition of One to One and Onto Functions

Definition of One to One and Onto Functions

Definition of Functions

Definition of Functions

Proving a Function is One to One and Onto

Proving a Function is One to One and Onto

Equivalence Relations Part(4/4)

Equivalence Relations Part(4/4)

Equivalence Relations Part(2/4)

Equivalence Relations Part(2/4)

Equivalence Relations Part(3/4)

Equivalence Relations Part(3/4)

Relations on Sets

Relations on Sets

Relations and Orders Part(2/2)

Relations and Orders Part(2/2)

Relations and Orders Part(1/2)

Relations and Orders Part(1/2)

Complement of Sets Part(2/4)

Complement of Sets Part(2/4)

Unions and Intersections of Indexed Families of Sets Part(2/2)

Unions and Intersections of Indexed Families of Sets Part(2/2)

Unions and Intersections of Indexed Families of Sets Part(1/2)

Unions and Intersections of Indexed Families of Sets Part(1/2)

Indexed Families of Sets

Indexed Families of Sets

Complement of Sets Part(4/4)

Complement of Sets Part(4/4)

Complement of Sets Part(3/4)

Complement of Sets Part(3/4)

Complement of Sets Part(2/4)

Complement of Sets Part(2/4)

Complement of Sets Part(1/4)

Complement of Sets Part(1/4)

Disjoint Sets

Disjoint Sets

Properties of the Union and the Intersection of Sets

Properties of the Union and the Intersection of Sets

Union and Intersection of Two Sets

Union and Intersection of Two Sets

Universal Set

Universal Set

Family of Sets

Family of Sets

Power Sets

Power Sets

Introduction to Sets Part(2/2)

Introduction to Sets Part(2/2)

Introduction to Sets Part(1/2)

Introduction to Sets Part(1/2)

Methods of Proof Part(3/3)

Methods of Proof Part(3/3)

Methods of Proof(1/3)

Methods of Proof(1/3)

Methods of Proof(2/3)

Methods of Proof(2/3)

Even and Odd Numbers Part(2/2)

Even and Odd Numbers Part(2/2)

Even and Odd Numbers Part(1/2)

Even and Odd Numbers Part(1/2)

Divides

Divides

Tautologies and Contradictions

Tautologies and Contradictions

Definition of Propositions

Definition of Propositions

Counterexample

Counterexample

Quantifiers

Quantifiers

Connectives Part(2/2)

Connectives Part(2/2)

Connectives Part(1/2)

Connectives Part(1/2)

Sets of Numbers

Sets of Numbers

Partial Derivatives

Partial Derivatives

The Fixed Point Method for Approximating Roots

The Fixed Point Method for Approximating Roots

Limits of Functions with Two or More Variables Part(2/4)

Limits of Functions with Two or More Variables Part(2/4)

Parametric Equations of Lines Part(2/3)(Parallel, Intersecting, or Skew)

Parametric Equations of Lines Part(2/3)(Parallel, Intersecting, or Skew)

Parametric Equations of Lines Part(3/3)(the distance from a point to a line)

Parametric Equations of Lines Part(3/3)(the distance from a point to a line)

Double Integrals over Rectangles Part(1/2)

Double Integrals over Rectangles Part(1/2)

Double Integrals over Rectangles Part(2/2)

Double Integrals over Rectangles Part(2/2)

Double Integrals over Nonrectangular Regions Part(1/2)

Double Integrals over Nonrectangular Regions Part(1/2)

Double Integrals over Nonrectangular Regions Part(2/2)

Double Integrals over Nonrectangular Regions Part(2/2)

Absolute Max. and Min. Values on Closed and Bounded Sets Part(1/2)

Absolute Max. and Min. Values on Closed and Bounded Sets Part(1/2)

Absolute Max. and Min. Values on Closed and Bounded Sets Part(2/2)

Absolute Max. and Min. Values on Closed and Bounded Sets Part(2/2)

Maximum and Minimum Values of Functions with Two Variables Part(1/3)

Maximum and Minimum Values of Functions with Two Variables Part(1/3)

Maximum and Minimum Values of Functions with Two Variables Part(2/3)

Maximum and Minimum Values of Functions with Two Variables Part(2/3)

Maximum and Minimum Values of Functions with Two Variables Part(3/3)

Maximum and Minimum Values of Functions with Two Variables Part(3/3)

Chain Rule of Functions with Two or More Variables Part(1/2)

Chain Rule of Functions with Two or More Variables Part(1/2)

Chain Rule of Functions with Two or More Variables Part(2/2)

Chain Rule of Functions with Two or More Variables Part(2/2)

Definition of Partial Derivatives

Definition of Partial Derivatives

Implicit Partial Differentiation

Implicit Partial Differentiation

Continuity of Functions with Two or More Variables Part(3/3)

Continuity of Functions with Two or More Variables Part(3/3)

Continuity of Functions with Two or More Variables Part(1/3)

Continuity of Functions with Two or More Variables Part(1/3)

Continuoty of Functions with Two or More Variables Part(2/3)

Continuoty of Functions with Two or More Variables Part(2/3)

Limits of Functions with Two or More Variables Part(1/4)

Limits of Functions with Two or More Variables Part(1/4)

Limits of Functions with Two or More Variables Part(4/4)

Limits of Functions with Two or More Variables Part(4/4)

Limits of Functions with Two or More Variables Part(3/4)

Limits of Functions with Two or More Variables Part(3/4)

Domain and Range of Functions with Two Variables Part(3/3)

Domain and Range of Functions with Two Variables Part(3/3)

Domain and Range of Functions with Two Variables part(2/3)

Domain and Range of Functions with Two Variables part(2/3)

Domain and Range of Functions with Two Variables Part(1/3)

Domain and Range of Functions with Two Variables Part(1/3)

Taylor & Maclaurin Series Part(4/4)

Taylor & Maclaurin Series Part(4/4)

Taylor & Maclaurin Series Part(3/4)

Taylor & Maclaurin Series Part(3/4)

Taylor & Maclaurin Series Part(2/4)

Taylor & Maclaurin Series Part(2/4)

Taylor & Maclaurin Series Part(1/4)

Taylor & Maclaurin Series Part(1/4)

Newton's Divided Difference Polynomial Part(2/2)

Newton's Divided Difference Polynomial Part(2/2)

Newton's Divided Difference Polynomial Part(1/2)

Newton's Divided Difference Polynomial Part(1/2)

Existence and Uniqueness of the Fixed Point

Existence and Uniqueness of the Fixed Point

The Fixed Point

The Fixed Point

Lagrange Polynomial Part(2/2)

Lagrange Polynomial Part(2/2)

Lagrange Polynomial Part(1/2)

Lagrange Polynomial Part(1/2)

Synthetic Division (Horner's method) Part(2/2)

Synthetic Division (Horner's method) Part(2/2)

Synthetic Division (Horner's method) Part(1/2)

Synthetic Division (Horner's method) Part(1/2)

Taylor Polynomial Part(1/2)

Taylor Polynomial Part(1/2)

Taylor Polynomial Part(2/2)

Taylor Polynomial Part(2/2)

Improper Integrals Part(1/2)

Improper Integrals Part(1/2)

Improper Integrals Part(2/2)

Improper Integrals Part(2/2)

Linear Independence

Linear Independence

Coordinates Relative to a Basis

Coordinates Relative to a Basis

Basis and Dimension

Basis and Dimension

Linear Combination

Linear Combination

Subspaces

Subspaces

Vector Spaces Part(2/2)

Vector Spaces Part(2/2)

Vector Spaces Part(1/2)

Vector Spaces Part(1/2)

Eigenvalues and Eigenvectors Part(2/2)

Eigenvalues and Eigenvectors Part(2/2)

Eigenvalues and Eigenvectors Part(1/2)

Eigenvalues and Eigenvectors Part(1/2)

Determining if Three Vectors Lie in the Same Plane

Determining if Three Vectors Lie in the Same Plane

Volume of a Parallelepiped

Volume of a Parallelepiped

Scalar Triple Products

Scalar Triple Products

Area of a Triangle

Area of a Triangle

Cross Product

Cross Product

Dot Product Part(2/2)

Dot Product Part(2/2)

Dot Product Part(1/2)

Dot Product Part(1/2)

Unit Vectors

Unit Vectors

Distance Between Two Points

Distance Between Two Points

Norm of a Vector

Norm of a Vector

Adding of Vectors

Adding of Vectors

Vectors in Coordinate Systems

Vectors in Coordinate Systems

Introduction to Vectors

Introduction to Vectors

Inverse of a Matrix Using Its Adjoint

Inverse of a Matrix Using Its Adjoint

Definition of Determinants

Definition of Determinants

Lower and Upper Triangular Matrix

Lower and Upper Triangular Matrix

Diagonal Matrix

Diagonal Matrix

Invertible Matrices Part(3/3)

Invertible Matrices Part(3/3)

Invertible Matrices Part(2/3)

Invertible Matrices Part(2/3)

Skew-Symmetric Matrix

Skew-Symmetric Matrix

Symmetric Matrix

Symmetric Matrix

Transpose of a Matrix

Transpose of a Matrix

Bisection Method Part(3/4)

Bisection Method Part(3/4)

Bisection Method Part(2/4)

Bisection Method Part(2/4)

Bisection Method Part(1/4)

Bisection Method Part(1/4)

Unique Root to a Function Part(2/2)

Unique Root to a Function Part(2/2)

Unique Root to a Function Part(1/2)

Unique Root to a Function Part(1/2)

Rolle's Theorem

Rolle's Theorem

Bolzano's Theorem

Bolzano's Theorem

Homogenous System

Homogenous System

Gaussian Elimination Part(2/2)

Gaussian Elimination Part(2/2)

Diagram of Nonhomogeneous System

Diagram of Nonhomogeneous System

Gauss - Jordan Elimination

Gauss - Jordan Elimination

Gaussian Elimination Part(1/2)

Gaussian Elimination Part(1/2)

Echelon Forms

Echelon Forms

Gramer's Rule

Gramer's Rule

Inverse Method

Inverse Method

System of Linear Equations

System of Linear Equations

Properties of Determinants

Properties of Determinants

Invertible Matrices Part(1/3)

Invertible Matrices Part(1/3)

Trace of a Matrix

Trace of a Matrix

Functions Part(3/3)

Functions Part(3/3)

Bisection Method Part(4/4)

Bisection Method Part(4/4)

Newton - Raphson Method

Newton - Raphson Method

The Secant Method

The Secant Method

Hyperbolic Functions

Hyperbolic Functions

Functions Part(2/2)

Functions Part(2/2)

Functions Part(1/2)

Functions Part(1/2)

Group Homomorphisms Part(4/4)

Group Homomorphisms Part(4/4)

Group Homomorphisms Part(3/4)

Group Homomorphisms Part(3/4)

Group Homomorphisms Part(2/4)

Group Homomorphisms Part(2/4)

Group Homomorphisms Part(1/4)

Group Homomorphisms Part(1/4)

Normal Subgroups and Quotient Groups Part(3/3)

Normal Subgroups and Quotient Groups Part(3/3)

Normal Subgroups and Quotient Groups Part(2/3)

Normal Subgroups and Quotient Groups Part(2/3)

Normal Subgroups and Quotient Groups Part(1/3)

Normal Subgroups and Quotient Groups Part(1/3)

Cosets and Lagrange's Theorem Part(3/3)

Cosets and Lagrange's Theorem Part(3/3)

Cosets and Lagrange's Theorem Part(2/3)

Cosets and Lagrange's Theorem Part(2/3)

Cosets and Lagrange's Theorem Part(1/3)

Cosets and Lagrange's Theorem Part(1/3)

Cyclic Groups Part(2/3)

Cyclic Groups Part(2/3)

Cyclic Groups Part(1/3)

Cyclic Groups Part(1/3)

Cyclic Groups Part(3/3)

Cyclic Groups Part(3/3)

Subgroups Part(4/4)

Subgroups Part(4/4)

Subgroups Part(3/4)

Subgroups Part(3/4)

Subgroups Part(2/4)

Subgroups Part(2/4)

Subgroups Part(1/4)

Subgroups Part(1/4)

Groups Part(10/10)

Groups Part(10/10)

Groups Part(9/10)

Groups Part(9/10)

Groups Part(8/10)

Groups Part(8/10)