CUET Mathematics - If P and Q are non-singular square matrices of the same order, then (PQ^T)^-1 equals | PYQs + Solutions

CUET Mathematics 2025 26 May Shift 2

Algebra

Medium

common

$P^{-1}Q$

$P^{-1}Q^{-1}$

$QP^{-1}$

✅ Correct Option: 4

Related questions:

13 May Shift 1

If A and B are invertible matrices of same order, then which one of the following is NOT true?

2 June Shift 1

If $A$ is an invertible matrix of order 3, then

Match List-I with List-II

List-I	List-II
(A) $\|\text{adj} A\|$	(I) $8\|A\|$
(B) $\|A(\text{adj} A)\|$	(II) $\|A\|^2$
(C) $\|2A\|$	(III) $\frac{1}{\|A\|}$
(D) $\|A^{-1}\|$	(IV) $\|A\|^3$

Choose the correct answer from the options given below:

22 May Shift 2

If $\begin{bmatrix} ab & cd \\ a+c & b+d \end{bmatrix} = \begin{bmatrix} 2 & -3 \\ 4 & 1 \end{bmatrix}$ where $a$ , $b$ , $c$ , $d$ are integers, then which of the following are true?

(A) $a + d = 0$

(B) $b + d = 3$

(D) $c + d = 2$

Choose the correct answer from the options given below:

List-I	List-II
(A) $\|\text{adj} A\|$	(I) $8\|A\|$
(B) $\|A(\text{adj} A)\|$	(II) $\|A\|^2$
(C) $\|2A\|$	(III) $\frac{1}{\|A\|}$
(D) $\|A^{-1}\|$	(IV) $\|A\|^3$

CUET Mathematics 2025 26 May Shift 2 PYQs

Keyboard Shortcuts