If A=bmatrix5 & 0 & 0\\0 & 5 & 0\\0 & 0 & 5bmatrix such that A^5=^2 A, then the value of is Option 1: 25 Option 2: -25 Option 3: ±25 Option 4: 125

The answer is '±25'. View full solution:

CUET Mathematics - If A=bmatrix5 & 0 & 0\\0 & 5 & 0\\0 & 0 & 5bmatrix such that A^5=^2 A, then the value of is | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 2

Algebra

Medium

core

-25

±25

125

✅ Correct Option: 3

Related questions:

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:

29th May Shift 2

The determinant of which of the following matrices is a perfect square ?

A. $\begin{bmatrix}5&29\\-1&6\end{bmatrix}$

B. $\begin{bmatrix}5&26\\1&6\end{bmatrix}$

C. $\begin{bmatrix}10&3\\17&10\end{bmatrix}$

D. $\begin{bmatrix}8&5\\-3&-8\end{bmatrix}$

Choose the correct answer from the options given below:

15 June Shift 2

The number of square matrices of order 2 using numbers 1 and $-1$ exactly once and the number 0 twice is :