Question

Solve the matrix IF POSSIBLE do the one with the big letter X inside of it

Answer 1

Given matrices

`V=\begin{pmatrix}-6 & 7 \\ \: 2 & 1\end{pmatrix},Y=\begin{pmatrix}0 & -3 \\ \: 13 & 8\end{pmatrix}`

Evaluate

`-2Y+3V`

This is done by substituting the matrices

`-2Y+3V=-2\begin{pmatrix}0 & -3 \\ 13 & 8\end{pmatrix}+3\begin{pmatrix}-6 & 7 \\ 2 & 1\end{pmatrix}`

This is simplified to give

`\begin{gathered} -2\begin{pmatrix}0 & -3 \\ \: 13 & 8\end{pmatrix}+3\begin{pmatrix}-6 & 7 \\ \: 2 & 1\end{pmatrix} \\ =\begin{pmatrix}0 & 6 \\ -26 & -16\end{pmatrix}+\begin{pmatrix}-18 & 21 \\ 6 & 3\end{pmatrix} \\ =\begin{pmatrix}-18 & 27 \\ -20 & -13\end{pmatrix} \end{gathered}`

Therefore,

`-2Y+3V=\begin{pmatrix}-18 & 27 \\ -20 & -13\end{pmatrix}`