Question

Select the best answer for the question

Answer 1

C.
`\left[\begin{array}{ccc}-24&0&-3\\8&-48&56\\25&-6&10\end{array}\right]`

Explanation:

The given matrices are;

`F=\left[\begin{array}{cc}-2&0\\0&8\\2&1\end{array}\right]`

and

`C=\left[\begin{array}{ccc}12&0&(3)/(2)\\1&-6&7\end{array}\right]`

`FC=\left[\begin{array}{cc}-2&0\\0&8\\2&1\end{array}\right]\left[\begin{array}{ccc}12&0&(3)/(2)\\1&-6&7\end{array}\right]`

`FC=\left[\begin{array}{ccc}12(-2)+0(1)&0(-2)+-6(0)&(3)/(2)(-2)+7(0)\\12(0)+8(1)&0(0)+8(-6)&0((3)/(2))+8(7)\\2(12)+1(1)&2(0)+1(-6)&2((3)/(2))+1(7)\end{array}\right]`

This simplifies to;

`FC=\left[\begin{array}{ccc}-24&0&-3\\8&-48&56\\25&-6&10\end{array}\right]`

The correct answer is C