Question

Given matrix F below, which matrix represents -4F?
please help thank you

Answer 1

-4. 12
-8. 0

Multiply each by negative 4

Answer 2

The required matrix is
`\begin{bmatrix}-4&12\\ -8&0\end{bmatrix}`.

Explanation:

The given matrix is

`F=\begin{bmatrix}1&-3\\ 2&0\end{bmatrix}`

We have to find the value of -4F.

Consider the matrix

`F=\begin{bmatrix}1&-3\\ 2&0\end{bmatrix}`

then the value of -4F is

`-4F=-4\begin{bmatrix}1&-3\\ 2&0\end{bmatrix}`

`-4F=\begin{bmatrix}\left(-4\right)\cdot \:1&\left(-4\right)\left(-3\right)\\ \left(-4\right)\cdot \:2&\left(-4\right)\cdot \:0\end{bmatrix}`

`-4F=\begin{bmatrix}-4&12\\ -8&0\end{bmatrix}`

Therefore the required matrix is
`\begin{bmatrix}-4&12\\ -8&0\end{bmatrix}`.