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If A = \( \begin{pmatrix}3&1 \\7 &5\end{pmatrix}\) and A2 + xI = yA then the values of x and y areA. X = 6, y = 6 B. X = 8, y = 8 C. X = 5, y = 8 D. X = 6, y = 8 |
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Answer» 2 + xI = yA \( \begin{pmatrix}3&1 \\7 &5\end{pmatrix}\)\( \begin{pmatrix}3&1 \\7 &5\end{pmatrix}\) + x\( \begin{pmatrix}1&0 \\0 &1\end{pmatrix}\) = y \( \begin{pmatrix}3&1 \\7 &5\end{pmatrix}\) \( \begin{pmatrix}16&8 \\56 &32\end{pmatrix}\) + x\( \begin{pmatrix}1&0 \\0 &1\end{pmatrix}\) = y\( \begin{pmatrix}3&1 \\7 &5\end{pmatrix}\) 8\( \begin{pmatrix}2&1 \\7 &4\end{pmatrix}\) + x\( \begin{pmatrix}1&0 \\0 &1\end{pmatrix}\) = y\( \begin{pmatrix}3&1 \\7 &5\end{pmatrix}\) Comparing L.H.S and R.H.S x = 8 y = 8 |
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