CUET Mathematics - Let A = bmatrix & - \\ & bmatrix, then (A^-1)^T equals | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 1

Algebra

Medium

core

$\begin{bmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix}$

$\begin{bmatrix} \cos\theta & -\sin\theta \\ -\sin\theta & \cos\theta \end{bmatrix}$

$\begin{bmatrix} -\cos\theta & \sin\theta \\ \sin\theta & -\cos\theta \end{bmatrix}$

$\begin{bmatrix} \cos\theta & \sin\theta \\ -\sin\theta & \cos\theta \end{bmatrix}$

✅ Correct Option: 1

Related questions:

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If $y = -4$ is a root of $\begin{vmatrix} y & 2 & 3 \\ 1 & y & 1 \\ 3 & 2 & y \end{vmatrix} = 0$ , then the product of the other two roots is

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The inverse of the matrix $\begin{bmatrix} 4 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 6 \end{bmatrix}$ is

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Match List-I with List-II

List-I	List-II
(A) The number of possible matrices of order 3x3 with each entry 1 or 0	(I) $2^4$
(B) The number of possible matrices of order 2x3 with each entry 1 or 0	(II) $2^9$
(C) The number of possible matrices of order 2x3 with each entry 0,1,2	(III) $2^6$
(D) The number of possible matrices of order 2x2 with each entry 1 or 0	(IV) $3^6$

Choose the correct answer from the options given below:

CUET Mathematics 2025 30 May Shift 1 PYQs