A clear explanation of how to multiply a matrix by a vector and a matrix by a matrix. A follow-up page provides additional examples.

Inverse matrices are very useful for solving matrix equations. But, given a matrix, how do you invert it? How do you find the inverse? The technique for inverting matrices is kind of clever. For a given matrix A and its inverse A-1, we...

[Free Registration/Login may be required to access all resource tools.] A collection of resources that teaches students that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1...

Explains what a zero matrix is, shows examples, and provides some interactive practice exercises. Help is available for exercises if it is needed. A summary chart compares the number zero to the zero matrix.

Find the matrix that is a result of multiplying a given matrix by a given scalar. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

[Free Registration/Login may be required to access all resource tools.] Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.

This brief lesson will introduce scalars, and demonstrate how to perform scalar multiplication with matrices. It is 3 of 10 in the series titled "Scalar Multiplication."

This brief lesson will introduce scalars, and demonstrate how to perform scalar multiplication with matrices. It is 1 of 10 in the series titled "Scalar Multiplication."

Students learn about matrix addition and subtraction, and scalar multiplication. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.

[Free Registration/Login may be required to access all resource tools.] Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant...