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Please answer Part B: Exercise 3.2.41 (a) Find a reflector Q that maps the vector (3, 4, 1, 3, 1]to a vector of the form

Please answer Part B:

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Exercise 3.2.41 (a) Find a reflector Q that maps the vector (3, 4, 1, 3, 1]to a vector of the form 1-T, 0, 0, 0, 0]7. You need not rescale x Write Q two ways: (i) in the form I - yuuT and (ii) as a completely assembled matrix. (b) Let a = [0, 2, 1, -1, 0]?. Calculate Qa two different ways: (i) the efficient way, using I yuu?, and (ii) using the assembled matrix Q. U Exercise 3.2.41 (a) Find a reflector Q that maps the vector (3, 4, 1, 3, 1]to a vector of the form 1-T, 0, 0, 0, 0]7. You need not rescale x Write Q two ways: (i) in the form I - yuuT and (ii) as a completely assembled matrix. (b) Let a = [0, 2, 1, -1, 0]?. Calculate Qa two different ways: (i) the efficient way, using I yuu?, and (ii) using the assembled matrix Q. U

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