20
QuizMultiple Choice

Scalar and Matrix Multiplication — Quiz

Question 20 • Advanced Algebra: Concepts and Connections

What is the product? negative 4 times the 4 by 1 matrix, row 1, column 1, 8 row 2, column 1, negative 1 row 3, column 1, negative 5 row 4, column 1, 9

Answer
A
the 4 by 1 matrix, row 1, column 1, negative 32 row 2, column 1, negative 1 row 3, column 1, negative 5 row 4, column 1, 9
B
the 4 by 1 matrix, row 1, column 1, negative 32 row 2, column 1, 4 row 3, column 1, 20 row 4, column 1, negative 36
C
the 4 by 1 matrix, row 1, column 1, 4 row 2, column 1, negative 5 row 3, column 1, negative 9 row 4, column 1, 5
D
the 4 by 1 matrix, row 1, column 1, 32 row 2, column 1, negative 4 row 3, column 1, negative 20 row 4, column 1, 36

Explanation

Multiply each entry of the matrix by −4: (−4)(8) = −32, (−4)(−1) = 4, (−4)(−5) = 20, and (−4)(9) = −36. The resulting column matrix is (−32, 4, 20, −36), which is choice B.

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