Question: The question is attached below. Note: This is all that the question comes with! Question 2 (2 pts). Let T : V ) V be

The question is attached below. Note: This is all that the question comes with!

Question 2 (2 pts). Let T : V ) V be a linear operator where dim V = n- Let a = (111, . .. gun) be a basis of V. Show that the following are equivalent: (1) The vectors v1, . . . , on are eigenvectors for T. (2) The matrix Ma (T) is a diagonal matrix. Hint. You may nd the following notation helpful: (11 0 0 0 12 0 diag(a1,a2,...,an} =

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