The matrix cap r is equal to the 2 by 1 column matrix 12 4 represents the length of 12 in. and the width of 4 in. of a rectangle. If matrix multiplication is used to double the length and width of the rectangle, which rectangle represents the result of the matrix multiplication?
Answer
A
Image with description A rectangle with a horizontal top side labeled 24 inches and a vertical right side labeled 8 inches.
B
Image with description A rectangle with a horizontal top side labeled 12 inches and a vertical right side labeled 8 inches.
C
Image with description A rectangle with a horizontal top side labeled 12 inches and a vertical right side labeled 4 inches.
D
Image with description A rectangle with a horizontal top side labeled 24 inches and a vertical right side labeled 4 inches.
Explanation
The matrix r lists the rectangle’s length and width as 12 inches and 4 inches. Doubling both dimensions gives 2 × 12 = 24 inches and 2 × 4 = 8 inches. Choice A shows a rectangle with those dimensions.
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