Let A = _ 2 1 4 3 _ (a) Show that u1 = _ 1 4 _ and u2 = _ 1 1 _ are eigenvectors of A

Chapter 9, Problem 70

(choose chapter or problem)

Let A = _ 2 1 4 3 _ (a) Show that u1 = _ 1 4 _ and u2 = _ 1 1 _ are eigenvectors of A and that u1 and u2 are linearly independent. (b) Represent x = _ 1 2 _ as a linear combination of u1 and u2. (c) Use your results in (a) and (b) to compute A10x.

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