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You are the given the eigenvectors uj - 1 . 1 - 1 and.-= ]- of the matrix A given by V/ = VI -

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You are the given the eigenvectors uj - 1 . 1 - 1 and.-= ]- of the matrix A given by V/ = VI - - 3 w (a) Find the eigenvalues 11 , 12 and 13 of the eigenvectors u1, U2 and u3, respectively. M = 12 = 13 = (b) The vectors uj, U2 and u3 form a basis B of R. Let v be the vector Find the coordinate vector [v]B of v in the basis B. [VB = . (c) Calculate A20v. Below, you can use exponentials to enter your answer, you don't have to write the full decimal expansion of the entries of the vector below, which could be large numbers. For instance, to write 5 . 920 . 8, enter 5*9^ (20)*8. A20 V =

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