If $A = \begin{bmatrix} 2 & -4 \\ -3 & 6 \end{bmatrix}$,then $A^{-1} =$ . . . . . . .

  • A
    $\frac{1}{24} \begin{bmatrix} 6 & 4 \\ 3 & 2 \end{bmatrix}$
  • B
    $\frac{1}{24} \begin{bmatrix} -2 & 4 \\ 3 & -6 \end{bmatrix}$
  • C
    $\frac{1}{24} \begin{bmatrix} -6 & 4 \\ 3 & -2 \end{bmatrix}$
  • D
    does not exist

Explore More

Similar Questions

For matrices $A$ and $B$,if $AB = 4I$,then $A^{-1}$ is equal to:

If $A$ is a non-singular matrix such that $(A-2I)(A-3I)=O$, then $\frac{1}{5}A + \frac{6}{5}A^{-1} = $

If $A(\alpha) = \begin{bmatrix} \cos \alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha \end{bmatrix}$,then $[A^2(\alpha)]^{-1} = $

The inverse of the matrix $\begin{bmatrix} 3 & -2 \\ 1 & 4 \end{bmatrix}$ is

Consider the matrices $A = \begin{bmatrix} 2 & -2 \\ 4 & -2 \end{bmatrix}$ and $B = \begin{bmatrix} 3 & 9 \\ 1 & 3 \end{bmatrix}$. If matrices $P$ and $Q$ are such that $PA = B$ and $AQ = B$, then the absolute value of the sum of the diagonal elements of $2(P+Q)$ is . . . . . . .

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo