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

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

1 Answer

6 votes

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.

User Shridharshan
by
8.9k points

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