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Let be a square matrix satisfying
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Let
A
A
A
be a square matrix satisfying
A
2
+
5
A
+
5
I
=
0
A^2+5A+5I=0
A
2
+
5
A
+
5
I
=
0
. The inverse of
A
+
2
I
A+2I
A
+
2
I
is equal to (a)
A
−
2
I
A-2I
A
−
2
I
(b)
A
+
3
I
A+3I
A
+
3
I
(c)
A
−
3
I
A-3I
A
−
3
I
(d) Non-existent
Related theory
Matrices
Determinants
Adjoint and inverse
Invertible matrices
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