Mathematics

Mathematics

Problem

Given A=[1−203]A = \begin{bmatrix}1 & -2\\0 & 3\end{bmatrix}, B=[41−12]B = \begin{bmatrix}4 & 1\\-1 & 2\end{bmatrix} and C=[532−1]C = \begin{bmatrix}5 & 3\\2 & -1\end{bmatrix}, calculate XX from 4X−2A+B=3C4X - 2A + B = 3C. a) [174543234]\begin{bmatrix}\dfrac{17}{4} & \dfrac{5}{4}\\ \dfrac{3}{2} & \dfrac{3}{4}\end{bmatrix} b) [13417414]\begin{bmatrix}\dfrac{13}{4} & 1\\ \dfrac{7}{4} & \dfrac{1}{4}\end{bmatrix} c) [13471]\begin{bmatrix}13 & 4\\ 7 & 1\end{bmatrix} d) [94374−114]\begin{bmatrix}\dfrac{9}{4} & 3\\ \dfrac{7}{4} & -\dfrac{11}{4}\end{bmatrix}

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