CUET Mathematics - If A = 1/9bmatrix -8 & 1 & 4 \\ 4 & 4 & 7 \\ 1 & -8 & 4 bmatrix, then (Where A^-1 and A^T represent inverse and transpose of matrix A respectively) | PYQs + Solutions

CUET Mathematics 2026 26th May Shift 2

Algebra

Medium

common

$A^{-1} = A$

$A^{-1} = -A$

$A^{-1} = A^T$

$A^{-1} = -A^T$

✅ Correct Option: 3

Related questions:

19th May Shift 2

Match the LIST-I with LIST-II

	LIST-I Characteristic of square matrix		LIST-II Type of matrix
A.	A is a square matrix such that $A + A^T = 0$ .	I.	Identity matrix or scalar matrix
B.	B is a square matrix such that $B^2 = B$	II.	Diagonal matrix
C.	C is a square matrix with all equal diagonal element and all the non-diagonal elements are zero.	III.	Skew symmetric matrix
D.	D is a matrix such that all the non-diagonal elements are zero.	IV.	Idempotent matrix

Choose the correct answer from the options given below:

22nd May Shift 2

Which of the following statements are true?

(A) A matrix which is both symmetric as well as skew-symmetric is a null matrix.

(B) All positive integral powers of a symmetric matrix are symmetric.

(D) All positive even integral powers of a skew-symmetric matrix are skew-symmetric.

Choose the correct answer from the options given below:

30th May Shift 2

If $A = \begin{bmatrix}\cos\alpha & \sin\alpha\\-\sin\alpha & \cos\alpha\end{bmatrix}$ , then the value of $1000|A^n| + 2|A|$ for a positive integer $n$ , is equal to

CUET Mathematics 2026 26th May Shift 2 PYQs

Keyboard Shortcuts