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 ______

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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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