NIMCET 2025 Paper

Section: Mathematics

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Question : 33 of 120

Marks: +1, -0

Let

A

and

B

be two square matrices of the same order satisfying

A^2+5 A+5 I=0 \;\; \;\text " and "\; \;\; B^2+3 B+I=0

respectively, where

I

is the identity matrix. Then the inverse of the matrix

C=B A+2 B+2 A+4 I

is:

$A B-A+3 B-3 I$
$B A+3 B+A+3 I$
$A B+A+3 B+3 I$
$B A-3 B+A-3 I$

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