If A^T = bmatrix a & b \\ c & d bmatrix and A^-1 = bmatrix p & q \\ r & s bmatrix, then Option 1: bmatrix a & b \\ c & d bmatrix^-1 = bmatrix p & q \\ r & s bmatrix Option 2: bmatrix a & b \\ c & d bmatrix = bmatrix p & q \\ r & s bmatrix^-1 Option 3: bmatrix a & b \\ c & d bmatrix^T = bmatrix p & -q \\ -r & s bmatrix^-1 Option 4: bmatrix a & b \\ c & d bmatrix^-1 = bmatrix p & q \\ r & s bmatrix^T

The answer is 'bmatrix a & b \\ c & d bmatrix^-1 = bmatrix p & q \\ r & s bmatrix^T'. View full solution:

CUET Mathematics - If A^T = bmatrix a & b \\ c & d bmatrix and A^-1 = bmatrix p & q \\ r & s bmatrix, then | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 1

Algebra

Medium

applied

$\begin{bmatrix} a & b \\ c & d \end{bmatrix}^{-1} = \begin{bmatrix} p & q \\ r & s \end{bmatrix}$

$\begin{bmatrix} a & b \\ c & d \end{bmatrix} = \begin{bmatrix} p & q \\ r & s \end{bmatrix}^{-1}$

$\begin{bmatrix} a & b \\ c & d \end{bmatrix}^T = \begin{bmatrix} p & -q \\ -r & s \end{bmatrix}^{-1}$

$\begin{bmatrix} a & b \\ c & d \end{bmatrix}^{-1} = \begin{bmatrix} p & q \\ r & s \end{bmatrix}^T$

✅ Correct Option: 4