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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)"}

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 33EQ
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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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