Question

Need help what is B - CF ?

Answer 1

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]`

Answer 2

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

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}`.