Problem 16 (10 pts) For an n x n matrix A, pa(t) = t.q(t) for some...

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Problem 16 (10 pts) For an n x n matrix A, pa(t) = t.q(t) for some polynomial q(t) precisely when Det(A) = 0. Problem 17 (10

Answer 1

Answer #1

has root t=0 16. YPA (t) = det (A-tI) Inf P (t)= t 9 (t) then (4)=0 an eigenvalue of a. 7 t- i such that Av=or=/ (3)} 0070) 7

к j=k+1 jal 2 n 1 izo Tr-w, v-wy s@i-be) Wie wi Z (aj -by) wij + 3 aj wij > (2-bec) + sair (: - <wi, wzy= *=k+1 Now, we Wybi

Answer 2

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