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Question

# Perform the indicated matrix operations or solve the matrix equation for X given that A, B, and C are defined as follows. If an operation is not defined, state the reason.$A = \left[ \begin{array} { r r } { 0 } & { 2 } \\ { - 1 } & { 3 } \\ { 1 } & { 0 } \end{array} \right] \quad B = \left[ \begin{array} { r r } { 4 } & { 1 } \\ { - 6 } & { - 2 } \end{array} \right] \quad C = \left[ \begin{array} { r r } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right]$$2 C - \frac { 1 } { 2 } B$

Solution

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The problem requires to perform the matrix operation $2C-\frac{1}{2}B$ given

$B=\begin{bmatrix}4&1\\-6&-2\end{bmatrix}\quad\text{and}\quad C=\begin{bmatrix}-1&0\\0&1\end{bmatrix}$

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