Learners explore the Algebra II topic of matrices. The tutorial demonstrates how to calculate the determinant of 2 by 2 and 3 by 3 matrices. The activity includes examples with detailed solutions.

Use this convenient table to compare Webb's Depth of Knowledge levels with Bloom's Cognitive Process Dimensions for Math and Science.

This site contains a downloadable tool that can solve up to 30 simultaneous linear equations in 30 unknowns.

Explains how simple polygons translate into matrices and how to use 2x2 matrices to represent transformations in a plane. Includes video demonstrating an example where a vector must be rotated 90 degrees using matrices. [4:18]

Examples, solutions, videos, and lessons to help students learn how to multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of...

Find the result (both algebraically and graphically) of transforming a vector using a transformation matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Match transformation matrices with a visual representation of their effect on the plane. 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.] 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...

Find the image of a given polygon under a transformation defined by a given matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

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.

Represent systems of two linear equations with matrix equations by determining A and b in the matrix equation A*x=b. 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.] A collection of resources that teach students that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but...

Determine the matrix that is the result of performing a specific row operation on a given matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Find the result of the multiplication of two matrices. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Find the inverse matrix of a given 2x2 matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Given a pair of matrices, determine whether they are inverses of each other. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Determine the matrix that represents a given system of linear equations. 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.] This lesson shows you how to determine if two matrices can be multiplied together and explains that the commutative property does not apply.

Find a concise explanation of how to solve systems of linear equations using matrices. An example is given and clearly explained.

Find the determinant of a given 2x2 matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given a 2x2 matrix, determine whether it has an inverse. 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.] Add, subtract, and multiply matrices of appropriate dimensions.

[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.