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For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. 1 -1 -3 5 -1 5 -3 (a) A = -1 -17 2 √6 1 1 -- 3 √6 (b) A = 0 1 2 1 √√2 8 -2 2 -2 5 -5 2 -5 5 1 √3 1 √√3 D = -8 00 0 0 0 0 0 3

For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. 1 -1 -3 5 -1 5 -3 (a) A = -1 -17 2 √6 1 1 -- 3 √6 (b) A = 0 1 2 1 √√2 8 -2 2 -2 5 -5 2 -5 5 1 √3 1 √√3 D = -8 00 0 0 0 0 0 3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. 1 -1 -1 (a) A = (b) A = Q= -1 -3 5 0 1 V2 V2 0 5 -3 -2 2 8 -2 5 -5 2 -5 5 2 6 V6 V6 6 1 Vo 1 Vo 1 V3 1 V3 V3 세요 1 V3 1 V3 D = D = -8 0 0 0 0 0 0 6 0 ㄷ 0 0 3 o 0 0 0 12
Transcribed Image Text:For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. 1 -1 -1 (a) A = (b) A = Q= -1 -3 5 0 1 V2 V2 0 5 -3 -2 2 8 -2 5 -5 2 -5 5 2 6 V6 V6 6 1 Vo 1 Vo 1 V3 1 V3 V3 세요 1 V3 1 V3 D = D = -8 0 0 0 0 0 0 6 0 ㄷ 0 0 3 o 0 0 0 12
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