CUET Mathematics - The system of equations x + y + z = 4 x + 2y + 3z = 12 x + 3y + z = has a unique solution if | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Algebra

Medium

core

$\lambda = 5, \mu$ can be any real number

$\lambda = 5, \mu \neq 20$

$\lambda \neq 5, \mu$ can be any real number

$\lambda = 5, \mu = 20$

✅ Correct Option: 3

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If the matrix $\begin{bmatrix}3 & 2a & -5\\4 & 0 & b\\-5 & 3 & 10\end{bmatrix}$ is symmetric, then the value of $5a + 2b$ is

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If $A = \begin{bmatrix} 1 & 2 & 3 \\ -4 & -5 & -2 \end{bmatrix}$ , $B = \begin{bmatrix} 2 & -3 \\ 4 & -5 \\ 2 & -1 \end{bmatrix}$ and $BA = [b_{ij}]$ , then $(b_{23} - b_{31})$ is equal to

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Match List-I with List-II

List-I	List-II
(A) A square matrix $P$ is said to be non-singular if	(I) $\|P\| = 0$
(B) A square matrix $P$ is said to be singular if	(II) $P P^T$ is symmetric
(C) If a matrix $P$ is both symmetric and skew-symmetric, then	(III) $\|P\| \neq 0$
(D) If $P$ is a square matrix, then	(IV) $P$ is a null matrix

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 2 PYQs

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