Suppose that A is a 6 6 matrix with characteristic polynomial . cA1l2 11 l2 11 l2 2 12
Chapter 4, Problem 4.4.49(choose chapter or problem)
Suppose that A is a 6 6 matrix with characteristic polynomial . cA1l2 11 l2 11 l2 2 12 l2 3 (a) Prove that it is not possible to find three linearlyindependent vectors v1, v2, v3 in 6 such thatAv1 v1, Av2 v2, and Av3 v3.(b) If A is diagonalizable, what are the dimensions ofthe eigenspaces E1, E1, and E2?5
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