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Problem
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
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