[Q8] (Section 3.2: Orthogonal Matrices, Rotators, Reflectors; Exercise 3.2.14) Use a QR decomposition to solve the linear system: 23 5 7 where R is upper-triangular and where as an appropriate 2 x 2 (Givens) rotation. (Hint: Follow closely Example 3.2.13.) x1 X2 = 12 29

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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[Q8] (Section 3.2: Orthogonal Matrices, Rotators, Reflectors; Exercise 3.2.14) Use a QR
decomposition to solve the linear system:
2 3]
X1
[B][B][B]
=
X2
57
12
29
where R is upper-triangular and where Q as an appropriate 2 × 2 (Givens) rotation. (Hint:
Follow closely Example 3.2.13.)
Transcribed Image Text:[Q8] (Section 3.2: Orthogonal Matrices, Rotators, Reflectors; Exercise 3.2.14) Use a QR decomposition to solve the linear system: 2 3] X1 [B][B][B] = X2 57 12 29 where R is upper-triangular and where Q as an appropriate 2 × 2 (Givens) rotation. (Hint: Follow closely Example 3.2.13.)
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