Question: Let A be a 2 x 2 matrix. (a) Prove that the characteristic polynomial of A is given by A-tr(A)X + det(A). (b) Let

Let A be a 2 x 2 matrix. (a) Prove that the characteristic polynomial of A is given by A-tr(A)X + det(A). (b) Let A and A be the eigenvalues of A (it is possible that A = A or that the eigenvalues are complex numbers). Show that det(A) = A A and tr(A) = + A.

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