Question: You are the given the eigenvectors uj = . U2 = COM N and u3 = NO of the matrix A given by A =

You are the given the eigenvectors uj = . U2 = COM N and u3 = NO of the matrix A given by A = (a) Find the eigenvalues X1, 12 and 13 of the eigenvectors uj, U2 and ug, respectively. A = 12 = -3 A3 = 1-2 (b) The vectors uj, u2 and us form a basis B of R . Let v be the vector Find the coordinate vector [v] s of v in the basis B. 25 [VB -3 (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*94(20)*8. A20 v

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