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\( 2 A+B+X=0 \), where \( A=\left[\begin{array}{cc}-1 & 2 \\ 3 & 4\end{array}\right] \) and \( B=\left[\begin{array}{cc}3 & -2 \\ 1 & 5\end{array}\right] \) the matrix is |
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Answer» 2A + B + x = 0 ⇒ x = -2A - B = \(-2\begin{bmatrix} -1&2\\3&4\end{bmatrix}-\begin{bmatrix}3&-2\\1&5\end{bmatrix}\) \(=\begin{bmatrix}2&-4\\-6&-8\end{bmatrix}-\begin{bmatrix}3&-2\\1&5\end{bmatrix}\) \(=\begin{bmatrix}2-3&-4+2\\-6-1&-8-5\end{bmatrix}\) \(=\begin{bmatrix}-1&-2\\-7&-13\end{bmatrix}\) |
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