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Matrix Addition, Scalar Multiplication, and Multiplication (Extension)
Worksheet
Grade Level
Algebra II
ALG2.229 Matrix Addition, Scalar Multiplication, and Multiplication (Extension)
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A quantity matrix Q = [[4, 2, 6]; [1, 5, 3]] is 2 x 3, and price vector p = [[8]; [10]; [7]] is 3 x 1. Which interpretation of Qp is correct?
A
Qp is a 3 x 2 matrix of total cost for each item type.
B
Qp is [[94]; [79]], a 2 x 1 matrix of total cost for each of the two rows in Q.
C
Qp is not defined because the matrices have different dimensions.
D
Qp is found by multiplying corresponding entries only.
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