Question: Q1 10 Points 2 0 1 Let A = a 2 0 , where a is some real number. 0 0 1 (1) Find the

Q1 10 Points 2 0 1 Let A = a 2 0 , where a is some real number. 0 0 1 (1) Find the eigenvalues of A. (2) Find a basis and the dimension of each eigenspace of A. (Warning: your answer should depend on a) (3) Find all values of a for which A has an eigenbasis and write it down. (Here, an eigenbasis is a basis of R3 consisting of three linearly independent eigenvectors of A)

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