Khan Academy
Khan Academy: Basic Matrix Operations: Matrix Addition and Subtraction
Adding and subtracting matrices.
Khan Academy
Khan Academy: Calculating Matrix of Minors and Cofactor Matrix
Inverting a 3x3 matrix then calculate the matrix of minors and the cofactor matrix.
Sophia Learning
Sophia: Using Elementary Row Operations to Solve for Systems of Equations
This video lesson demonstrates how to solve a system of linear equations by using matrix row operations. Students can check their understanding with an assessment.
Khan Academy
Khan Academy: Basic Matrix Operations: Transpose of a Matrix
A video of how to transpose a matrix. [3:42]
Khan Academy
Khan Academy: Solving Systems by Elimination: Reduced Row Echelon Form 1
Video shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables.
Khan Academy
Khan Academy: Linear Algebra: More on Matrix Addition and Scalar Multiplication
Video reviews what was shown in the previous video that the sum of two linear transformations is the sum of their transformation matrices and the scalar multiple of a transformation is the scalar multiple of the transformation matrix....
Khan Academy
Khan Academy: Linear Algebra: More on Matrix Addition and Scalar Multiplication
Video reviews what was shown in the previous video that the sum of two linear transformations is the sum of their transformation matrices and the scalar multiple of a transformation is the scalar multiple of the transformation matrix....
Khan Academy
Khan Academy: More on Matrix Addition and Scalar Multiplication
Video shows that the sum of two linear transformations is the sum of their transformation matrices and the scalar multiple of a transformation is the scalar multiple of the transformation matrix.
Khan Academy
Khan Academy: Alternate Basis Transformation Matrix Example
Example of finding the transformation matrix for an alternate basis.
Khan Academy
Khan Academy: Adding & Subtracting Matrices
Sal defines what it means to add or subtract matrices. He shows a few examples and discusses some important properties of matrix addition and subtraction.
Khan Academy
Khan Academy: Solving a System of 3 Equations and 4 Variables Using Matrix
Sal solves a linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form.
Sophia Learning
Sophia: Using Determinants to Classify 2x2 Matrices
This lesson demonstrates how the determinant of a 2x2 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.
Sophia Learning
Sophia: Matrix Addition and Subtraction
This lesson explains how to add and subtract matrices when it is possible to do so, noting matrix addition is commutative and associative. [2:59]
Sophia Learning
Sophia: Matrix Multiplication
This lesson introduces matrix multiplication, distinguishes it from multiplying by a scalar, and provides examples of the operation.
Sophia Learning
Sophia: Matrix Multiplication: Lesson 2
This lesson introduces matrix multiplication, distinguishes it from multiplying by a scalar, and provides examples of the operation. It is 2 of 2 in the series titled "Matrix Multiplication."
Sophia Learning
Sophia: Matrix Multiplication: Lesson 9
This lesson introduces matrix multiplication, distinguishes it from multiplying by a scalar, and provides examples of the operation. It is 9 of 2 in the series titled "matrix multiplication."
Sophia Learning
Sophia: Writing Systems of Equations With Augmented Matrices #3
This lesson demonstrates how to write systems of equations as augmented matrices.
Sophia Learning
Sophia: Writing Systems of Equations With Augmented Matrices: Lesson 1
This lesson demonstrates how to write systems of equations as augmented matrices. It is 1 of 5 in the series titled "Writing Systems of Equations with Augmented Matrices."
Sophia Learning
Sophia: Writing Systems of Equations With Augmented Matrices: Lesson 2
This lesson demonstrates how to write systems of equations as augmented matrices. It is 2 of 5 in the series titled "Writing Systems of Equations with Augmented Matrices."
Sophia Learning
Sophia: Solving a System of Linear Equations Given Two Cost Relationships
In this lesson, students will learn Solving a System of Linear Equations given two Cost Relationships