22
QuizMultiple Choice

Scalar and Matrix Multiplication — Quiz

Question 22 • Advanced Algebra: Concepts and Connections

What is the product? 6 times the 2 by 3 matrix, row 1, column 1, 4 column 2, negative 2 column 3, 1 row 2, column 1, 7 column 2, 3 column 3, 0

Answer
A
the 2 by 3 matrix, row 1, column 1, 24 column 2, negative 12 column 3, 6 row 2, column 1, 42 column 2, 18 column 3, 0
B
the 2 by 3 matrix row 1, 10 4 7 row 2, 13 9 6
C
the 2 by 3 matrix, row 1, column 1, 4 column 2, negative 12 column 3, 6 row 2, column 1, 7 column 2, 18 column 3, 0
D
the 2 by 3 matrix, row 1, column 1, 24 column 2, negative 12 column 3, 6 row 2, column 1, 7 column 2, 3 column 3, 0

Explanation

Multiply each entry of the matrix by 6: the first row becomes (6·4, 6·−2, 6·1) = (24, −12, 6), and the second row becomes (6·7, 6·3, 6·0) = (42, 18, 0). This gives choice A, the 2 by 3 matrix with rows (24, −12, 6) and (42, 18, 0).

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