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Answer the following questions: (a) () Find the 12-norms of the vectors, x = (1, 2, 3)T and y = (b) na Show that the set, is orthonormal. = (9, 11, 13)T. 1 1 S s={√5 (2,-1,0)", √/30 (1,2,-5)", √/24 (2,4,2)"}

Answer the following questions: (a) () Find the 12-norms of the vectors, x = (1, 2, 3)T and y = (b) na Show that the set, is orthonormal. = (9, 11, 13)T. 1 1 S s={√5 (2,-1,0)", √/30 (1,2,-5)", √/24 (2,4,2)"}

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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Answer the following questions: (a) () Find the 12-norms of the vectors, x = (1,2,3)™ and y = (1,2,3)T and y = (9, 11, 13). (b) ma Show that the set, ( is orthonormal. T T 5-{(2,-1,0)", (1,2-5), (2.4.2)"} 2, 4, = S = T 1 30 √24 (c) i- Let f(x) sin x and consider co = 4, x1 9 and x2 = = after rounding. Now, Find the polynomial using Least Square Approximation for n = 1. -6. For f(x) take up to 3 decimal places
Transcribed Image Text:Answer the following questions: (a) () Find the 12-norms of the vectors, x = (1,2,3)™ and y = (1,2,3)T and y = (9, 11, 13). (b) ma Show that the set, ( is orthonormal. T T 5-{(2,-1,0)", (1,2-5), (2.4.2)"} 2, 4, = S = T 1 30 √24 (c) i- Let f(x) sin x and consider co = 4, x1 9 and x2 = = after rounding. Now, Find the polynomial using Least Square Approximation for n = 1. -6. For f(x) take up to 3 decimal places
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