Let and . If , find the pair…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let A=[1x02]A = \begin{bmatrix} 1 & x \\ 0 & 2 \end{bmatrix} and B=[21y3]B = \begin{bmatrix} 2 & 1 \\ y & 3 \end{bmatrix}. If AB=[81046]AB = \begin{bmatrix} 8 & 10 \\ 4 & 6 \end{bmatrix}, find the pair (x, y)(x,\,y). (a) (2,3)(2,3) (b) (9,23)\left(9,\dfrac{2}{3}\right) (c) (3,2)(3,2) (d) (3,3)(3,3)

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