(a) Find the matrix P = aaT/a Ta that projects any vector onto the line through a =

Chapter 5, Problem 5.26

(choose chapter or problem)

(a) Find the matrix P = aaT/a Ta that projects any vector onto the line through a = (2,1,2). (b) What is the only nonzero eigenvalue of P, and what is the corresponding eigenvector? (c) Solve uk+1 = Puk , starting from u0 = (9,9,0).

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