Let A =
- a. Find a basis for ℝ2 consisting of v1 and another eigenvector v2 of A.
- b. Verify that x0 may be written in the form x0 = v1 + cv2
- c. For k = 1, 2, ...,define xk = Akx0.Compute x1 and x2, and write a formula for xk. Then show that xk → v1 as A increases.
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