Answer:
[tex]\begin{bmatrix}6 & 32 \\ 39 & 15\end{bmatrix}[/tex]
Step-by-step explanation:
We have the product, [tex]\frac{1}{2}\times \begin{bmatrix}12 & 64\\ 78 & 30\end{bmatrix}[/tex].
As we know, 'When a matrix is multiplied by a scalar, its each element is multiplied by that scalar'.
So, we get,
[tex]\frac{1}{2}\times \begin{bmatrix}12 & 64\\ 78 & 30\end{bmatrix}[/tex].
⇒ [tex]\begin{bmatrix}\frac{1}{2}\times 12 & \frac{1}{2}\times 64\\ \frac{1}{2}\times 78 & \frac{1}{2}\times 30\end{bmatrix}[/tex]
⇒ [tex]\begin{bmatrix}6 & 32 \\ 39 & 15\end{bmatrix}[/tex]
Hence, the resulting product is [tex]\begin{bmatrix}6 & 32 \\ 39 & 15\end{bmatrix}[/tex].
