elizabethgaray5541 elizabethgaray5541

06-06-2023
Mathematics

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For all three of these matrices, follow steps a., b., and c.. For each step, A; is A₁, A2, or A3. -2 -5 -4 2 1 1 0 1 1 0 0 0 A₁ 1 20 A₂ = 2 -1 1 A3 = 7 0 0 0 2 22 -2 0 0 2 a. Calculate the characteristic polynomial by hand. 2 b. Find the eigenvalues of the matrix A; using matlab or octave's roots () function. Then find the matrix P such that Ai = PDP-¹ by hand. c. Use the matrix P to compute by hand the diagonal matrix D = P-¹A₂P and verify that the elements along the diagonal are indeed the eigenvalues of the matrix A₁. = " doo Adr -4 -3

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