what is the value of c in the matrix equation below?\n-18 3 5-c = -22 1 12\n-40 2 17\n-40 2 -7\n4 2 -7\n4 2 17

Answer:

[ \begin{bmatrix} 4&2& - 7 \end{bmatrix} ]

Explanation:

Step1: Isolate matrix C

[ \begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}\Rightarrow C = \begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix} ]

Step2: Subtract corresponding elements

[ \begin{align*} C&=\begin{bmatrix}-18-(-22)&3 - 1&5-12\end{bmatrix}\ &=\begin{bmatrix}-18 + 22&2&-7\end{bmatrix}\ &=\begin{bmatrix}4&2&-7\end{bmatrix} \end{align*} ]