Determine a basis for the subspace U =< (1, 1, 1), (0, 1, 2), (2, 1,0) > of R³. a) Establish if the subset W = {(x, y, z) = R³ x+y+z=3} is a subspace of R³. b) Compute a basis of Un W.
Determine a basis for the subspace U =< (1, 1, 1), (0, 1, 2), (2, 1,0) > of R³. a) Establish if the subset W = {(x, y, z) = R³ x+y+z=3} is a subspace of R³. b) Compute a basis of Un W.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 31EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=Mnn, W is the set...
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