Question: 1 2 4 You are given the eigenvectors u1 = 1 . 112 = 1 and 113 = D of the matrix A given by

 1 2 4 You are given the eigenvectors u1 = 1. 112 = 1 and 113 = D of the matrix A

1 2 4 You are given the eigenvectors u1 = 1 . 112 = 1 and 113 = D of the matrix A given by 1 3 2 4 4 5 11 A = s s 1.3 15 _? _ ? _ {a} Find the eigenvalues .11. Ag and A3 of the eigenvectors 111, m and H3, respectively. in = E in = E s, = E 7 [b] The vectors 111,112 and 113 form a basis 3 of R3. Let V be the vector 1 3 Find the coordinate vector [\"15 of v in the basis 3. {(2} Calculate 1120?. 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- Ell!Ell - 8, enter 5*9"(2}*8. : : Check

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