Question

I am confused about this one.. can you explain it to me step by step? thank you.

Answer 1

Given:

`C=\begin{bmatrix}{12} & {0} & {(3)/(2)} \\ {1} & {-6} & {7}\end{bmatrix}`

To find 4C:

Multiplying 4 on both sides we get,

`\begin{gathered} 4C=4*\begin{bmatrix}{12} & {0} & {(3)/(2)} \\ {1} & {-6} & {7}\end{bmatrix} \\ =\begin{bmatrix}{4*12} & {4*0} & {4*(3)/(2)} \\ {4*1} & {4*(-6)} & {4*7}\end{bmatrix} \\ =\begin{bmatrix}{48} & {0} & {6} \\ {4} & {-24} & {28}\end{bmatrix} \end{gathered}`

Hence, the answer is,

`4C=\begin{bmatrix}{48} & {0} & {6} \\ {4} & {-24} & {28}\end{bmatrix}`

Therefore, the correct option is A.