Question: 3.2.47 Exercise (a) Let A= | 1 2 . Find a reflector Q and an upper triangular R such that A = QR. Assemble Q

3.2.47 Exercise (a) Let A= | 1 2 . Find a reflector Q and an upper triangular R such that A = QR. Assemble Q and simplify it. (solution: Q = 11-1-1], R=-:-1) V2 0 1 (b) Compare your solution from part (a) with the QR decomposition of the same matrix (obtained using a rotator) in Example 3.2.13. Find a diagonal matrix D with main diagonal entries 1 such that Q QD and R = DR

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