Suppose 0 is a repeated eigenvalue for the 2 2 matrix A.
Chapter , Problem 16(choose chapter or problem)
Suppose 0 is a repeated eigenvalue for the 2 2 matrix A. (a) Show that (A 0I)2 = 0 (the zero matrix). (b) Given an arbitrary vector V0, let V1 = (A0I)V0. Using the result of part (a), show that V1 is either an eigenvector of A or the zero vector.
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