Question: Question 2.6 (8 marks) 3 3 a) Are the vectors 11' = [ ] and '6' = [ 4 ] perpendicular? Explain. b) Find the

Question 2.6 (8 marks) 3 3 a) Are the vectors 11'

Question 2.6 (8 marks) 3 3 a) Are the vectors 11' = [ ] and '6' = [ 4 ] perpendicular? Explain. b) Find the eigenvalues of the matrix and a corresponding eigenvector for each eigenvalue. c) Let A be the matrix from part b). Find matrices P and D such that D is a diagonal matrix and A = PDP'I. Calculate P'l

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