If A+ 4 & 2 1 & 3 = 6 & 9 1 & 4 then A= 1. 2 & 7 … - Vidyadip

Question

If $ \text{A}+\displaystyle \begin{vmatrix} 4 &\text{amp; } 2 \\ 1 &\text{amp; } 3 \end{vmatrix}=\displaystyle \begin{vmatrix} 6 &\text{amp; } 9 \\ 1 &\text{amp; } 4\end{vmatrix} $ then $\text{A}=$

$\displaystyle \begin{vmatrix} 2 & 7 \\ 0 & 1\end{vmatrix} $
$\displaystyle \begin{vmatrix} 0 & 1 \\ 2 & 7\end{vmatrix} $
$\displaystyle \begin{vmatrix} 1 & 0 \\ 2 & 7\end{vmatrix} $
$\displaystyle \begin{vmatrix} 2 & 1 \\ 0 & 7\end{vmatrix} $

✓

Answer

$\displaystyle \begin{vmatrix} 2 & 7 \\ 0 & 1\end{vmatrix} $

Solution:

$ \text{A}=\displaystyle \begin{vmatrix} 6 &\text{amp; } 9 \\ 1 &\text{amp; } 4\end{vmatrix}-\displaystyle \begin{vmatrix} 4 &\text{amp; } 2 \\ 1 &\text{amp; } 3 \end{vmatrix}=\displaystyle \begin{vmatrix} 2 &\text{amp; } 7 \\ 0 &\text{amp; } 1 \end{vmatrix}$

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