Let W denote the subspace of R5 consisting of all vectors having coor- dinates that sum to zero. The vectors = Ալ (2,-3, 4, -5,2), uz = (3, -2, 7, 9, 1), = us (-1, 1, 2, 1, -3), U7 = (1,0,-2,3,-2), and generate W. Find a subset of {u1, u2,. = u2 (-6, 9, 12, 15, -6), u4= (2, -8,2,-2, 6), u6 (0, -3, -18, 9, 12), 46= = us (2,-1, 1, -9, 7) ug} that is a basis for W.
Let W denote the subspace of R5 consisting of all vectors having coor- dinates that sum to zero. The vectors = Ալ (2,-3, 4, -5,2), uz = (3, -2, 7, 9, 1), = us (-1, 1, 2, 1, -3), U7 = (1,0,-2,3,-2), and generate W. Find a subset of {u1, u2,. = u2 (-6, 9, 12, 15, -6), u4= (2, -8,2,-2, 6), u6 (0, -3, -18, 9, 12), 46= = us (2,-1, 1, -9, 7) ug} that is a basis for W.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 4EQ
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