Question

What is the product?

Answer 1

`\begin{bmatrix}6 & 32 \\ 39 & 15\end{bmatrix}`

Explanation:

We have the product,
`(1)/(2)* \begin{bmatrix}12 & 64\\ 78 & 30\end{bmatrix}`.

As we know, 'When a matrix is multiplied by a scalar, its each element is multiplied by that scalar'.

So, we get,

`(1)/(2)* \begin{bmatrix}12 & 64\\ 78 & 30\end{bmatrix}`.

⇒
`\begin{bmatrix}(1)/(2)* 12 & (1)/(2)* 64\\ (1)/(2)* 78 & (1)/(2)* 30\end{bmatrix}`

⇒
`\begin{bmatrix}6 & 32 \\ 39 & 15\end{bmatrix}`

Hence, the resulting product is
`\begin{bmatrix}6 & 32 \\ 39 & 15\end{bmatrix}`.