(a) Show that the eigenvalues of the 2 Ã 2 matrix are the solutions of the quadratic...
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are the solutions of the quadratic equation λ2 - tr(A)λ + det A = 0, where tr(A) is the trace of A. (See page 168.)
(b) Show that the eigenvalues of the matrix A in part (a) are
(c) Show that the trace and determinant of the matrix A in part (a) are given by tr(A) = λ1 + λ2 and det A = λ1λ2 where λ1 and λ2 are the eigenvalues of A.
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