1) Let B = be an orthogonal basis, y = and let W = span(B). %3! A) Calculate the orthogonal projection of y onto W using two different methods. t B) Determine the shortest distance from y to W and the shortest point in W closes to y. E C) Let a = Show c = a+band ||c|? = ||a||? + ||b||², but neither a nor b and c = %3D are orthogonal projections of c onto W.E
1) Let B = be an orthogonal basis, y = and let W = span(B). %3! A) Calculate the orthogonal projection of y onto W using two different methods. t B) Determine the shortest distance from y to W and the shortest point in W closes to y. E C) Let a = Show c = a+band ||c|? = ||a||? + ||b||², but neither a nor b and c = %3D are orthogonal projections of c onto W.E
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 1AEXP
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