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Consider the matrix of size, A2x2 Where T = Tr(A) and A - (a) Show that for a matrix of size 2 2, the

 

Consider the matrix of size, A2x2 Where T = Tr(A) and A - (a) Show that for a matrix of size 2 2, the characteristic polynomial is always: P(A) = A-TA+A c d = det(A). (b) Under what conditions of 7 and A will the matrix A will have real eigenvalues? T

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