Back to Vector and Matrix Quantities — Problem 7 · Task Set 31

HSN-VM Tutor Intake — Vectors and Matrices

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Grade 9·12 problems·~15 min·Common Core Math - HS Number and Quantity·domain·vm
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A

Procedures

1.

Matrices A=[2103]A = \begin{bmatrix} 2 & 1 \\ 0 & 3 \end{bmatrix} and
B=[4125]B = \begin{bmatrix} 4 & -1 \\ 2 & 5 \end{bmatrix}.
What is the (1,2)(1, 2) entry of the matrix product ABAB?
That is, what is the value in row 1, column 2 of ABAB?
(Enter a single number.)