1. (a) (b) (c) (d) (e) Let S = {(1, 0, 1), (1, 2, 1)} in C³, and W = span(S) Find an orthonormal basis of W. Find an orthonormal basis of W-? If x=(2, 0, 0), find the closet vector on W to x. What is the closest distant from W to x? Comment on the relation between (b) and (d).
1. (a) (b) (c) (d) (e) Let S = {(1, 0, 1), (1, 2, 1)} in C³, and W = span(S) Find an orthonormal basis of W. Find an orthonormal basis of W-? If x=(2, 0, 0), find the closet vector on W to x. What is the closest distant from W to x? Comment on the relation between (b) and (d).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 34EQ
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