(a) Find the explicit formula for the characteristic polynomial det(A - I) = -3 + a2 -...
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(b) Prove that if A has eigenvalues λ1, λ2, λ3, then a = tr A = λ1 + λ2 + λ3, b = λ1 λ2 + λ1 λ3 + λ2 λ3, c = det A = λ1 λ2 λ3.
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a a a 11 a 22 a 33 trA b a 11 a 22 a 12 a 21 a 11 a 33 a 13 a 31 a 22 a 33 a 23 ...View the full answer
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