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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

222 2

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]= [1 2] \begin{bmatrix} 8 \ 7 \end{bmatrix}$

= [8 + 14] = [2 2]