CUET Mathematics - For a square matrix A = bmatrix 2 & 1 & 3 \\ 0 & -1 & 4 \\ 1 & 2 & 0 bmatrix, which of the following statements is/are TRUE ? A. det (A) = 9. B. A_21.A_33 = -12, where A_ij is the cofactor of a_ij C. det (A) = a_11A_11 + a_12A_12 + a_13A_31. D. AA' ≠ A^2 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 25th May Shift 1

Algebra

Hard

core

A, B and C only

B and C only

B only

A, C and D only

✅ Correct Option: 3

Related questions:

21st May Shift 2

If $A = \begin{bmatrix}-2 & 2 & 0\\3 & 1 & 4\end{bmatrix}$ and $B = \begin{bmatrix}2 & 0 & -2\\7 & 1 & 6\end{bmatrix}$ are two matrices such that $-3A + 5B + 2C = 0$ then matrix C is equal to:

7 Aug Shift 2

Match List - I with List - II.

	List - I		List - II
(A)	$A = \begin{bmatrix} 6 & 9 \\ 2 & 3 \end{bmatrix}$ , $B = \begin{bmatrix} 2 & 6 & 0 \\ 7 & 9 & 8 \end{bmatrix}$ , AB will be	(I)	$\begin{bmatrix} 75 & 117 & 72 \\ 35 & 39 & 24 \end{bmatrix}$
(B)	$P = \begin{bmatrix} 8 & 45 & 30 \\ 17 & 19 & 5 \end{bmatrix}$ , $Q = \begin{bmatrix} 67 & 72 & 42 \\ 8 & 30 & 19 \end{bmatrix}$ , P+Q will be	(II)	$\begin{bmatrix} 75 & 117 & 72 \\ 25 & 39 & 24 \end{bmatrix}$
(C)	$\begin{bmatrix} 85 & 42 & 69 \\ 73 & 42 & 50 \end{bmatrix} - \begin{bmatrix} 10 & -75 & -3 \\ 38 & 3 & 26 \end{bmatrix}$	(III)	$\begin{bmatrix} 75 & 117 & 72 \\ 25 & 49 & 24 \end{bmatrix}$
(D)	$2 \begin{bmatrix} 34 & 36 & 30 \\ 12 & 18 & 20 \end{bmatrix} + \begin{bmatrix} 7 & 55 & 12 \\ 1 & 13 & -16 \end{bmatrix}$	(IV)	$\begin{bmatrix} 75 & 127 & 72 \\ 25 & 49 & 24 \end{bmatrix}$

Choose the correct answer from the options given below :

13 May Shift 2

If A is an invertible matrix of order 3 and the determinant of A is 9, then the determinant of $A^{-1}$ is:

CUET Mathematics 2026 25th May Shift 1 PYQs

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