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

Answer:

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

Step-by-step 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 $\begin{bmatrix}-4&12\\ -8&0\end{bmatrix}$.