CUET Mathematics - If A is a square matrix such that |A| ≠ 0 and A^2 - A + 2I = 0 then A^-1 is equal to :(where I is an identity matrix of order as order of matrix A) | PYQs + Solutions

CUET Mathematics 2026 15th May Shift 1

Algebra

Medium

common

$\dfrac{1}{2}(I - A)$

$I + A$

$I - A$

$\dfrac{1}{2}(I + A)$

✅ Correct Option: 1

Related questions:

30 May Shift 1

If $A = \begin{bmatrix} a & 1 & -1 \\ 0 & b & 4 \\ 4 & 4 & c \end{bmatrix}$ and $abc = 12$ , $b = 4a$ , then the value of $|A(adjA)|$ is:

27 May Shift 1

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:

30 May Shift 2

If the system of equations

$x - 3y + 5z = 3$

$x - 2y + 4z = 4$

$2x - 7y + \lambda z = 5$

has infinite number of solutions, then the value of $\lambda$ is:

CUET Mathematics 2026 15th May Shift 1 PYQs