Question

Need help what is B - CF ?

Answer 1

Answer:

The value of B-CF is $\begin{bmatrix}23&6.5\\ -6&44\end{bmatrix}$.

Step-by-step explanation:

The given matrices are

$B=\begin{bmatrix}2&8\\ 6&3\end{bmatrix}$

$C=\begin{bmatrix}12&0&1.5\\ 1&-6&7\end{bmatrix}$

$F=\begin{bmatrix}-2&0\\ 0&8\\ 2&1\end{bmatrix}$

We need to find the value of B - CF.

First find the value CF.

$CF=\begin{bmatrix}12&0&1.5\\ 1&-6&7\end{bmatrix}\begin{bmatrix}-2&0\\ 0&8\\ 2&1\end{bmatrix}$

$CF=\begin{bmatrix}12\left(-2\right)+0\cdot \:0+1.5\cdot \:2&12\cdot \:0+0\cdot \:8+1.5\cdot \:1\\ 1\cdot \left(-2\right)+\left(-6\right)\cdot \:0+7\cdot \:2&1\cdot \:0+\left(-6\right)\cdot \:8+7\cdot \:1\end{bmatrix}$

$CF=\begin{bmatrix}-21&1.5\\ 12&-41\end{bmatrix}$

Now, find the value of  B - CF.

$B-CF=\begin{bmatrix}2&8\\ 6&3\end{bmatrix}-\begin{bmatrix}-21&1.5\\ 12&-41\end{bmatrix}$

$B-CF=\begin{bmatrix}23&6.5\\ -6&44\end{bmatrix}$

Therefore the value of B-CF is $\begin{bmatrix}23&6.5\\ -6&44\end{bmatrix}$.

Answer 2

CF=($\left[\begin{array}{ccc}-21&1.5\\-41&-41\end{array}\right]$)
B-CF=$\left[\begin{array}{ccc}23&6.5\\47&44\end{array}\right]$