Let and . Determine if…

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

Problem

Let C=[3−102]C = \begin{bmatrix}3 & -1\\0 & 2\end{bmatrix} and D=[54−21]D = \begin{bmatrix}5 & 4\\-2 & 1\end{bmatrix}. Determine XX if X−2C=DX - 2C = D. (a) [83−23]\begin{bmatrix}8 & 3\\-2 & 3\end{bmatrix} (b) [−16−2−3]\begin{bmatrix}-1 & 6\\-2 & -3\end{bmatrix} (c) [112−25]\begin{bmatrix}11 & 2\\-2 & 5\end{bmatrix} (d) [116−25]\begin{bmatrix}11 & 6\\-2 & 5\end{bmatrix}

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