22
AssignmentMultiple Choice

Scalar and Matrix Multiplication

Question 22 • CUSD Advanced Math B (5.0)

Do these procedures yield the same result?1. First do the scalar multiplication, then do the matrix multiplication.2. First do the matrix multiplication, then do the scalar multiplication.

Answer
A
yes
B
no

Explanation

Yes. Scalar multiplication distributes across matrix multiplication: for a scalar k and compatible matrices A and B, (kA)B = k(AB). Thus multiplying by the scalar before or after the matrix multiplication gives the same result. The correct choice is A, “yes.”

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