what is the product?\n$\frac{1}{2}cdot\begin{bmatrix}12&64\\78&30end{bmatrix}$\n$\begin{bmatrix}6&32\\78&30en…

what is the product?\n$\frac{1}{2}cdot\begin{bmatrix}12&64\\78&30end{bmatrix}$\n$\begin{bmatrix}6&32\\78&30end{bmatrix}$\n$\begin{bmatrix}6&64\\78&30end{bmatrix}$\n$\begin{bmatrix}6&32\\39&15end{bmatrix}$\n$\begin{bmatrix}6&64\\39&30end{bmatrix}$

what is the product?\n$\frac{1}{2}cdot\begin{bmatrix}12&64\\78&30end{bmatrix}$\n$\begin{bmatrix}6&32\\78&30end{bmatrix}$\n$\begin{bmatrix}6&64\\78&30end{bmatrix}$\n$\begin{bmatrix}6&32\\39&15end{bmatrix}$\n$\begin{bmatrix}6&64\\39&30end{bmatrix}$

Answer

Explanation:

Step1: Multiply scalar by matrix elements

Multiply $\frac{1}{2}$ by each element of the matrix $\begin{bmatrix}12&64\78&30\end{bmatrix}$. For the first - row first - column element: $\frac{1}{2}\times12 = 6$. For the first - row second - column element: $\frac{1}{2}\times64 = 32$. For the second - row first - column element: $\frac{1}{2}\times78 = 39$. For the second - row second - column element: $\frac{1}{2}\times30 = 15$.

Answer:

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