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.

Determinants: Finding the determinant of a 3x3 matrix.

Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with.

Example of finding the transformation matrix for an alternate basis.

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."

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."

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."

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."

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."

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."

This lesson will introduce matrices and how to determine their dimensions.

This lesson defines minors and their relationship to determinants. It is 5 of 7 in the series titled "Minors."

This lesson defines minors and their relationship to determinants. It is 6 of 7 in the series titled "Minors."

This lesson defines minors and their relationship to determinants. It is 1 of 7 in the series titled "Minors."

This lesson demonstrates multiplication of 4x4 and larger matrices. It is 3 of 7 in the series titled "Multiplying Two Large Matrices."

This lesson demonstrates multiplication of 4x4 and larger matrices. It is 5 of 7 in the series titled "Multiplying Two Large Matrices."

This lesson demonstrates multiplication of 4x4 and larger matrices. It is 1 of 7 in the series titled "Multiplying Two Large Matrices."

This lesson demonstrates multiplication of 3x3 matrices. It is 1 of 7 in the series titled "Multiplying Two Medium Matrices."

This lesson demonstrates multiplication of 3x3 matrices. It is 2 of 7 in the series titled "Multiplying Two Medium Matrices."

This lesson demonstrates multiplication of 3x3 matrices. It is 6 of 7 in the series titled "Multiplying Two Medium Matrices."

This lesson demonstrates multiplication of 2x2 matrices. It is 4 of 7 in the series titled "Multiplying Two Small Matrices."

This lesson demonstrates multiplication of 2x2 matrices. It is 6 of 7 in the series titled "Multiplying Two Small Matrices."

This lesson demonstrates multiplication of 2x2 matrices. It is 1 of 7 in the series titled "Multiplying Two Small Matrices."

This lesson introduces Sarrus' rule. It is 5 of 6 in the series titled "Sarrus' Rule."