Find a basis for the orthogonal complement of the subspace of Rª spanned by the following vectors. v₁ = (1,−1, 2, 1), v₂ = (2,−1, 5, 4), V3 = (1,0,3,3) The required basis can be written in the form {(x, y, 1, 0), (z, w, 0, 1)}. Enter the values of x, y, z, and w (in that order) into the answer box below, separated with commas.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find a basis for the orthogonal complement of the subspace of Rª spanned by the following vectors.
V1
V₁ = (1,-1, 2, 1), v₂ =
V2 (2,−1,5,4), v3 = (1,0,3,3)
The required basis can be written in the form
{(x, y, 1, 0), (z, w, 0, 1)}.
Enter the values of x, y, z, and w (in that order) into the answer box below, separated with commas.
Transcribed Image Text:Find a basis for the orthogonal complement of the subspace of Rª spanned by the following vectors. V1 V₁ = (1,-1, 2, 1), v₂ = V2 (2,−1,5,4), v3 = (1,0,3,3) The required basis can be written in the form {(x, y, 1, 0), (z, w, 0, 1)}. Enter the values of x, y, z, and w (in that order) into the answer box below, separated with commas.
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