10
QuizMultiple Choice

Scalar and Matrix Multiplication — Quiz

Question 10 • Advanced Algebra: Concepts and Connections

What is the product? 1 half times the 2 by 2 matrix row 1, 12 64 row 2, 78 30

Answer
A
the 2 by 2 matrix row 1, 6 64 row 2, 78 30
B
the 2 by 2 matrix row 1, 6 64 row 2, 39 30
C
the 2 by 2 matrix row 1, 6 32 row 2, 78 30
D
the 2 by 2 matrix row 1, 6 32 row 2, 39 15

Explanation

To multiply a matrix by 1/2, multiply each entry by 1/2. Half of 12 is 6, half of 64 is 32, half of 78 is 39, and half of 30 is 15. The resulting matrix has rows [6, 32] and [39, 15], which is choice A.

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