9
QuizMultiple Choice

Scalar and Matrix Multiplication — Quiz

Question 9 • Advanced Algebra: Concepts and Connections

If cap r is equal to the 2 by 2 matrix, row 1, column 1, 3 column 2, 7 row 2, column 1, negative 2 column 2, negative 11 , what is 4 cap r ?

Answer
A
the 2 by 2 matrix, row 1, column 1, 12 column 2, 7 row 2, column 1, negative 2 column 2, negative 44
B
the 2 by 2 matrix, row 1, column 1, 7 column 2, 11 row 2, column 1, 2 column 2, negative 7
C
the 2 by 2 matrix, row 1, column 1, 12 column 2, 28 row 2, column 1, negative 8 column 2, negative 44
D
the 2 by 2 matrix, row 1, column 1, 7 column 2, 28 row 2, column 1, 2 column 2, negative 44

Explanation

To find 4R, multiply every entry of R by 4. This gives 4(3) = 12, 4(7) = 28, 4(−2) = −8, and 4(−11) = −44. The resulting matrix is [12 28; −8 −44], which is choice D.

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