In Exercises 1 and 2, A is a 3 Ã 3 matrix with eigenvectors corresponding to eigenvalues

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In Exercises 1 and 2, A is a 3 × 3 matrix with eigenvectors
In Exercises 1 and 2, A is a 3 ×

corresponding to eigenvalues λ1 = - 1/3, λ2 = 1/3, and λ3 = 1 , respectively, and

In Exercises 1 and 2, A is a 3 ×

1. Find A20x.
2. Find Akx. What happens as k becomes large (i.e., k ( ˆž)?

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