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.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Matrics→Matrics — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

The value of $\int_2^8 \frac{\sqrt{10-x}}{\sqrt{x}+\sqrt{10-x}} d x$ is

$\int \frac{1}{\cos x-\sin x} dx =$____

The solution of $\frac{x d y}{d x}=y(\ln y-\ln x+1)$ is

$R$ is a relation from $\{11, 12, 13\}$ to $\{8, 10, 12\}$ defined by $y = x - 3$. Then, $R^{-1}$ is:

The value of $\sin\Big(\frac{1}{4}\sin^{-1}\frac{\sqrt{63}}{8}\Big)$ is:

The equation of line passing through the point (a, b, c) and parallel to Z-axis is

The number of solution of the given equation a $\sin x+ b \cos x= c$, where $| c |>\sqrt{ a ^2+ b ^2}$, is

If $I_n=\int_0^{\pi / 4} \tan ^n \theta d \theta$, then $I_8+I_6$ equals

A r.v. $X \sim B(n, p)$. If value of mean and variance of $X$ are 18 and 12 respectively, then total number of possible values of $X$ are

The direction ratios of the line perprndicular to the lines $\frac{\text{x}-7}{2}=\frac{\text{y}+17}{-3}=\frac{\text{z}-6}{1}$ and, $\frac{\text{x}+5}{1}=\frac{\text{y}+3}{2}=\frac{\text{z}-4}{-2}$ are proportional to: