If A= [ ll 2 & 3 4 & 6 ], then A^ -1 = - Vidyadip

MCQ

If $A=\left[\begin{array}{ll}2 & 3 \\ 4 & 6\end{array}\right]$, then $A^{-1}=$

A
$\left[\begin{array}{cc}1 & 2 \\ -\frac{3}{2} & 3\end{array}\right]$
B
$\left[\begin{array}{cc}2 & -3 \\ 4 & 6\end{array}\right]$
C
$\left[\begin{array}{ll}-2 & 4 \\ -3 & 6\end{array}\right]$
✓
Does not exist

✓

Answer

Correct option: D.

Does not exist

(D) $|A|=\left|\begin{array}{ll}2 & 3 \\ 4 & 6\end{array}\right|=12-12=0$
$\therefore \quad A ^{-1}$ does not exist.

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