If A = bmatrix 1 & 2 & 3 \\ 2 & 1 & 4 \\ 3 & 2 & 1 bmatrix, then which of the following is the value of (adj A)^-1 Option 1: bmatrix 1 & 2 & 3 \\ 2 & 1 & 2 \\ 3 & 4 & 1 bmatrix Option 2: bmatrix 1 & 1/2 & 1/3 \\ 1/2 & 1 & 1/2 \\ 1/3 & 1/4 & 1 bmatrix Option 3: 1/16bmatrix 1 & 2 & 3 \\ 2 & 1 & 4 \\ 3 & 2 & 1 bmatrix Option 4: -1/24bmatrix 1 & 2 & 3 \\ 2 & 1 & 2 \\ 3 & 4 & 1 bmatrix

The answer is '1/16bmatrix 1 & 2 & 3 \\ 2 & 1 & 4 \\ 3 & 2 & 1 bmatrix'. View full solution:

CUET Mathematics - If A = bmatrix 1 & 2 & 3 \\ 2 & 1 & 4 \\ 3 & 2 & 1 bmatrix, then which of the following is the value of (adj A)^-1 | PYQs + Solutions

CUET Mathematics 2022 16 July Shift 2

Algebra

Medium

$\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 2 \\ 3 & 4 & 1 \end{bmatrix}$

$\begin{bmatrix} 1 & 1/2 & 1/3 \\ 1/2 & 1 & 1/2 \\ 1/3 & 1/4 & 1 \end{bmatrix}$

$\frac{1}{16}\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 4 \\ 3 & 2 & 1 \end{bmatrix}$

$-\frac{1}{24}\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 2 \\ 3 & 4 & 1 \end{bmatrix}$

✅ Correct Option: 3