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QuizMultiple Choice

Matrices and Sequences — Test

Question 1 • Algebra II

What is the product? 3 times the 2 by 2 matrix, row 1, column 1, negative 6 column 2, negative 11 row 2, column 1, negative 14 column 2, negative 9

Answer
A
the 2 by 2 matrix row 1, 18 33 row 2, 42 27
B
the 2 by 2 matrix, row 1, column 1, negative 18 column 2, negative 33 row 2, column 1, negative 42 column 2, negative 27
C
the 2 by 2 matrix row 1, 3 8 row 2, 11 6
D
the 2 by 2 matrix, row 1, column 1, negative 3 column 2, negative 8 row 2, column 1, negative 11 column 2, negative 6

Explanation

Multiply each entry of the matrix by 3: 3(−6) = −18, 3(−11) = −33, 3(−14) = −42, and 3(−9) = −27. The resulting matrix has rows (−18, −33) and (−42, −27), which is choice B.

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