Skip to main content

If A = …, then which of the following is the value of ( adj A)^-1

CUET UG 2022 — Mathematics Algebra

2022mcqmedium

If A=[123214321]A = \begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 4 \\ 3 & 2 & 1 \end{bmatrix}A=​123​212​341​​, then which of the following is the value of (adj A)−1(\text{adj } A)^{-1}(adj A)−1

Official previous-year question

Held on 16 Jul 2022 · Verified 13 Jul 2026.

Options

  1. A

    [123212341]\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 2 \\ 3 & 4 & 1 \end{bmatrix}​123​214​321​​

  2. B

    [11/21/31/211/21/31/41]\begin{bmatrix} 1 & 1/2 & 1/3 \\ 1/2 & 1 & 1/2 \\ 1/3 & 1/4 & 1 \end{bmatrix}​11/21/3​1/211/4​1/31/21​​

  3. C

    116[123214321]\frac{1}{16}\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 4 \\ 3 & 2 & 1 \end{bmatrix}161​​123​212​341​​

  4. D

    −124[123212341]-\frac{1}{24}\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 2 \\ 3 & 4 & 1 \end{bmatrix}−241​​123​214​321​​

Did you get this right?

Sign in to track your attempts and accuracy.

Your note

Sign in to keep a private note on this question. Nothing you write is ever public.

CUET UG Algebra in other years

More CUET UG Algebra questions

Other Mathematics topics for CUET UG

Keep practicing Algebra

Work through every CUET UG Algebra PYQ, year by year.

Browse all Mathematics topics