2
AssignmentMultiple Choice

Scalar and Matrix Multiplication

Question 2 • GA-Advanced Algebra: Concepts and Connections CR

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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