Question
If A is a 2 × 2 matrix and I is an identity matrix of order 2 & A − λI = 0 gives value of λ as –1 & 3 then trace of A2 is equal to ______
Answer :
Correct answer is : 10
Given A − λI = 0
Value of ‘λ’ are –1 and 3
Now value of ‘λ’ of A2 is equal to λ2
∴ Let λ1 = (–1)2 = 1
λ2 = (3)2 = 9
Trace of A2 = 1 + 9
= 10
∴ Answer is 10
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