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Help solve this matrix problem for -4a+2b=

Help solve this matrix problem for -4a+2b=-example-1
User Beba
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1 Answer

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Explanation:


A = \begin{bmatrix} - 3 &amp; 1\\ - 6 &amp; 9\end{bmatrix} \: and \: B = \begin{bmatrix} - 4 &amp; - 3 \\ - 9 &amp; 9\end{bmatrix} \\\\</p><p></p><p>-4A+2B = - 4\begin{bmatrix} - 3 &amp; 1\\ - 6 &amp; 9\end{bmatrix} + 2\begin{bmatrix} - 4 &amp; - 3 \\ - 9 &amp; 9\end{bmatrix} \\\\</p><p></p><p>-4A+2B = \begin{bmatrix} - 3(-4) &amp; 1(-4)\\ - 6(-4)&amp; 9(-4)\end{bmatrix} + \begin{bmatrix} - 4(2) &amp; - 3(2) \\ - 9(2) &amp; 9(2)\end{bmatrix} \\\\</p><p></p><p></p><p>-4A+2B = \begin{bmatrix}</p><p>12 &amp; -4\\ </p><p>24&amp; -36\end{bmatrix} + </p><p>\begin{bmatrix} </p><p>- 8 &amp; - 6 \\ </p><p>- 18 &amp; 18 \end{bmatrix} \\\\</p><p></p><p>-4A+2B = \begin{bmatrix}</p><p>12+(-8) &amp; -4+(-6)\\ </p><p>24+(-18)&amp; -36+18\end{bmatrix} \\\\</p><p></p><p>-4A+2B = \begin{bmatrix}</p><p>12-8 &amp; -4-6\\ </p><p>24-18 &amp; -36+18\end{bmatrix} \\\\</p><p></p><p>\huge\red{-4A+2B }= \orange {\begin{bmatrix}</p><p>4 &amp; -10\\ </p><p>6 &amp; -18\end{bmatrix}} \\

User Turneye
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