CUET Mathematics - If A^-1 exists for the matrix A = bmatrix 1 & & -1 \\ -1 & 1 & 0 \\ & 1 & 1 bmatrix then | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 2

Algebra

Medium

core

$\lambda = -1$

$\lambda \neq -1$

$\lambda \neq 2$

$\lambda \neq 1$

✅ Correct Option: 2

Related questions:

15 May Shift 2

If $A = [a_{ij}]$ be square matrix of order 3, such that $a_{ij} = i + j$ , $\forall i, j$ then which of the following are correct?

(A) A is a skew-symmetric matrix.

(B) A is a non-singular matrix.

(D) A is a symmetric matrix.

Choose the correct answer from the options given below:

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The number of all possible matrices of order 3 with each entry either 0 or 1 is:

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If $\begin{bmatrix} 1 & 3 \\ 2 & 4 \end{bmatrix} \begin{bmatrix} 3 & 5 \\ -1 & 3 \end{bmatrix} = \begin{bmatrix} m & 14 \\ 2 & n \end{bmatrix}$ , then $m + n$ is equal to

CUET Mathematics 2025 22 May Shift 2 PYQs

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