Whether the statement “Matrix multiplication is commutative.” is true or false.
Answer to Problem 4AYU
The statement “Matrix multiplication is commutative.” is false.
Explanation of Solution
Given information:
The statement “Matrix multiplication is commutative.”
Consider the provided statement “Matrix multiplication is commutative.”
To find the product AB of two matrices A and B , the number of column in matrix A must be equal to number of rows in matrixB .
For example: Let
Compute the value of
Compute the value of
Observe that,
Thus, the statement “Matrix multiplication is commutative.” is false.
Chapter 11 Solutions
Precalculus
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