Published by:
CGP EDU Academic Team
Published on: August 12, 2026
For the matrix A = 
find a & b so that A 2 + aA + b Ι = 0. Hence find A –1 .
Text Solution
Verified by ExpertsThe correct answer is:
A
a = – 4, b = 1, A –1 = 
Sol. A = 
⇒ A 2 = 
= 
A 2 + aA + bI = 0 ⇒ 
+ 
+ 
= 0 ⇒ 
= 0
8 + 2a = 0, 3 + a + b = 0 ⇒ a = – 4, b = 1
A –1 = 
⇒ A –1 = 
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