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Q1:

All the four of the 2 x 2 matrix p = are non zero, and one of its eigen values is zero. Which of the following statements is true?

A P11P22 - P12P21 = 1

B P11P22 - P12P21 = - 1

C P11P22 - P12P21 = 0

D P11P22 + P12P21 = 1

ANS:C - P11P22 - P12P21 = 0

Use [λI - P] = 0 ⇒(λ - P11)(λ - P22) - P21P12 = 0 Putting λ = 0, we get P11P22 - P21P12 = 0.



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