# $If A+B= \begin{vmatrix} 7&4 \\ 8& 9\end{vmatrix} and A-B= \begin{vmatrix} 1&2 \\ 0& 3\end{vmatrix}$Then the value of A is? Option 1) $\begin{bmatrix} 3&1 \\ 4& 3\end{bmatrix}$ Option 2) $\begin{bmatrix} 4&3\\ 4& 6\end{bmatrix}$ Option 3) $\begin{bmatrix} 6&2\\ 8& 6\end{bmatrix}$ Option 4) $\begin{bmatrix} 7&8\\ 6& 6\end{bmatrix}$

P Plabita

As learnt in concept

Matrices of the same size can be added such that their corresponding elements get added.

- wherein

$A+B = \begin{bmatrix} 7 &4 \\ 8&9 \end{bmatrix}$

$A- B = \begin{bmatrix} 1 &2 \\ 0&3 \end{bmatrix}$

$2A = \begin{bmatrix} 8 &6 \\ 8&12 \end{bmatrix}$

$A = \begin{bmatrix} 4 &3 \\ 4&6 \end{bmatrix}$

Option 1)

$\begin{bmatrix} 3&1 \\ 4& 3\end{bmatrix}$

Incorrect option

Option 2)

$\begin{bmatrix} 4&3\\ 4& 6\end{bmatrix}$

Correct option

Option 3)

$\begin{bmatrix} 6&2\\ 8& 6\end{bmatrix}$

Incorrect option

Option 4)

$\begin{bmatrix} 7&8\\ 6& 6\end{bmatrix}$

Incorrect option

Exams
Articles
Questions