Q2: Show that for the matrix A=[[ a b; c d ]], the characteristic polynomial can be written as lambda ^2-tr(A)+det(A), where tr(A) is the trace of matrix A and det(A) is the determinant of A.
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For a 2x2 matrix A = [[a, b], [c, d]], the characteristic polynomial is given by: P(λ) = det(A - λI) = det([[a - λ, b], [c, d - λ]]) Show more…
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