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Lesson Worksheet: Properties of Matrix Multiplication Mathematics
In this worksheet, we will practice identifying the properties of matrix multiplication, including the transpose of the product of two matrices, and comparing them to the properties of multiplication of numbers.
Matrices ,,, and are square matrices. Use the associative law for three square matrices to determine which of the following proves that .
Consider the matrices and . Is ?
Given the matrices and , is ?
Given that matrices and , is ?
Is there a matrix , other than the identity matrix , where for every matrix ?
True or False: If is a matrix and and are matrices, then .