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Exercise 5.3.4 In each case, write x as a linear combi- nation of the orthogonal basis of the subspace U. a. x=(13, -20, 15); U = span {(1, -2, 3), (-1, 1, 1)} b. x=(14, 1, 8, 5); U span {(2, 1, 0, 3), (2, 1, -2, -1)}

Exercise 5.3.4 In each case, write x as a linear combi- nation of the orthogonal basis of the subspace U. a. x=(13, -20, 15); U = span {(1, -2, 3), (-1, 1, 1)} b. x=(14, 1, 8, 5); U span {(2, 1, 0, 3), (2, 1, -2, -1)}

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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Exercise 5.3.4 In each case, write x as a linear combi- nation of the orthogonal basis of the subspace U. = (13, -20, 15); U = span {(1, −2, 3), (−1, 1, 1)} b. x = (14, 1, -8, 5); U = span {(2, 1, 0, 3), (2, 1, −2, –−1)}
Transcribed Image Text:Exercise 5.3.4 In each case, write x as a linear combi- nation of the orthogonal basis of the subspace U. = (13, -20, 15); U = span {(1, −2, 3), (−1, 1, 1)} b. x = (14, 1, -8, 5); U = span {(2, 1, 0, 3), (2, 1, −2, –−1)}
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