Khan Academy
Khan Academy: Basic Matrix Operations: Introduction to the Matrix
A video introducing matrices.
Khan Academy
Khan Academy: Finding the Determinant of a 3 X3 Matrix Method 1
A video showing how to find the determinant of a 3 x 3 matrix.
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: Introduction to Matrices and Their Dimensions
This video resource introduces matrices and describes how to determine their dimensions as well as name elements.
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: Inverting Matrices: Inverse of a 2 X2 Matrix
Example of calculating the inverse of a 2x2 matrix.
Virtual Nerd
Virtual Nerd: What Is a Matrix?
This tutorial explains what a matrix is, how they are used to solve problems, and how to find the dimensions of a matrix. [4:51]
Other
Identity Matrix and Inverses
Explains what is meant by an identity matrix and why it is important. This is followed by a discussion of inverses. Examples and explanations are very clear. [13:45]
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: Inverting 3 X3 Part 2: Determinant and Adjugate of a Matrix
This is part two of video about 3x3 matrix inversion.
Khan Academy
Khan Academy: Properties of Matrix Multiplication: Zero Matrix
Explains what the zero matrix is and how it is used in matrix multiplication. [4:41]
Khan Academy
Khan Academy: Properties of Matrix Multiplication: Intro to Identity Matrix
Just as any number remains the same when multiplied by 1, any matrix remains the same when multiplied by the identity matrix. [7:59]
Khan Academy
Khan Academy: Another Example of a Projection Matrix
Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first.
Sophia Learning
Sophia: Dot Products: Lesson 2
This lesson introduces the concept of a dot product and its relationship to matrix operations. It is 2 of 6 in the series titled "Dot Products."
Sophia Learning
Sophia: Equality in Matrices: Lesson 4
This lesson discusses when two matrices are considered equal. This is part of a series of lessons on early concepts related to matrices. It is 4 of 4 in the series titled "Equality in Matrices."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 2
This lesson goes over the steps for finding the dot product of a matrix. It is 2 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 3
This lesson goes over the steps for finding the dot product of a matrix. It is 3 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 5
This lesson goes over the steps for finding the dot product of a matrix. It is 5 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 6
This lesson goes over the steps for finding the dot product of a matrix. It is 6 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Finding the Dot Product: Lesson 1
This lesson goes over the steps for finding the dot product of a matrix. It is 1 of 7 in the series titled "Finding the Dot Product."
Sophia Learning
Sophia: Matrices
This lesson will introduce matrices and how to determine their dimensions.
Sophia Learning
Sophia: Matrix Elements: Lesson 3
This lesson defines the numbers appearing within a matrix as its elements. This is part of a group of lessons about parts of a matrix. It is 3 of 4 in the series titled "Matrix Elements."