(1 point) Let A = [ -1 28 42 ; 0 -5 -6 ; 0 4 5 ]. Find an invertible matrix P and a diagonal matrix D such that D = P^-1 AP. P = , D =
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Step 1: Find the characteristic polynomial by calculating the determinant of A - λI: det(A - λI) = det([-1-λ, 28420, -6045; 1, -5-λ, 0; 0, 0, -λ]) = -λ(-1-λ)(-5-λ) = -λ^3 + 6λ^2 + 5λ Show more…
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