Let W be the subspace of R4 orthogonal to u1=(2, 1, -2, 2) and u2=(0, 2, -2, 1), that is, W=S⊥, where S={u1=( 2, 1, -2, 2), u2=(0, 2, -2,1)}. Find (a) a basis and the dimension) of the subspace W. (b): an orthogonal basis of the subspace W.
Let W be the subspace of R4 orthogonal to u1=(2, 1, -2, 2) and u2=(0, 2, -2, 1), that is, W=S⊥, where S={u1=( 2, 1, -2, 2), u2=(0, 2, -2,1)}. Find (a) a basis and the dimension) of the subspace W. (b): an orthogonal basis of the subspace W.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
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Let W be the subspace of R4 orthogonal to u1=(2, 1, -2, 2) and u2=(0, 2, -2, 1), that is, W=S⊥,
where S={u1=( 2, 1, -2, 2), u2=(0, 2, -2,1)}. Find
(a) a basis and the dimension) of the subspace W.
(b): an orthogonal basis of the subspace W.
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