Question
Question: Matrix [1 2] \(\left( \begin{bmatrix} - 2 & 5 \\ 3 & 2 \end{bmatrix}\begin{bmatrix} 1 \\ 2 \end{bma...
Matrix [1 2] $\left( \begin{bmatrix}
- 2 & 5 \ 3 & 2 \end{bmatrix}\begin{bmatrix} 1 \ 2 \end{bmatrix} \right)$ is equal to-
A
[1 2 2]
B
[2 3]
C
[2 2]
D
None of these
Answer
22
Explanation
Solution
We have
[1 2] $\left( \begin{bmatrix}
- 2 & 5 \ 3 & 2 \end{bmatrix}\begin{bmatrix} 1 \ 2 \end{bmatrix} \right)$
= [1 2] $\begin{bmatrix}
- 2 + 10 \ 3 + 4 \end{bmatrix}=[12]\begin{bmatrix} 8 \ 7 \end{bmatrix}$
= [8 + 14] = [2 2]