Question

(10-1)
a 11
of the resulting matrix is:
O 11
12
13

Answer 1

Given:

The matrix multiplication

`\begin{bmatrix}1&4\\3&2\end{bmatrix}\begin{bmatrix}8\\1\end{bmatrix}`

To find:

The value of
`a_(11)` in the resulting matrix.

Solution:

We have,

`\begin{bmatrix}1&4\\3&2\end{bmatrix}\begin{bmatrix}8\\1\end{bmatrix}`

It can be written as

`\begin{bmatrix}1&4\\3&2\end{bmatrix}\begin{bmatrix}8\\1\end{bmatrix}=\begin{bmatrix}1* 8+4* 1\\3* 8+2* 1\end{bmatrix}`

`\begin{bmatrix}1&4\\3&2\end{bmatrix}\begin{bmatrix}8\\1\end{bmatrix}=\begin{bmatrix}8+4\\24+2\end{bmatrix}`

`\begin{bmatrix}1&4\\3&2\end{bmatrix}\begin{bmatrix}8\\1\end{bmatrix}=\begin{bmatrix}12\\26\end{bmatrix}`

The element of first row and first column is 12. So, the value of
`a_(11)` is 12.

Therefore, the correct option is B.