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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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