Question: (a) Let A = Question 2. 12-4 (0-0) 267 and -21 8 -3 (1) Use the Householder transformation to transform A into upper triangular

(a) Let A = Question 2. 12-4 (0-0) 267 and -21 8

(a) Let A = Question 2. 12-4 (0-0) 267 and -21 8 -3 (1) Use the Householder transformation to transform A into upper triangular matrix R. (8) (ii) Compute b HHb. (4) (iii) Solve Rx = b for x and check your answer by computing the residual r = b-Ax.(2) (b) Use Givens reflection to transform the following system to upper triangular form and then solve the upper triangular system.

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