(ii) Let W be the subspace of R4 which is spanned by the vectors a₁ = (-1, 1, 2,5), a₂ = (0, 0,-1,-2) a3 = (2,-2, 3, 4), a₁ = (1,-1,2,3). Find a basis for the annihilator W° of W.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 8E
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(ii) Let W be the subspace of Rª which is spanned by the vectors
a₁ = (-1,1,2,5), α₂ = (0,0,-1,-2)
a3 = (2,-2,3,4), a₁ = (1,-1,2,3).
Find a basis for the annihilator W° of W.
Transcribed Image Text:(ii) Let W be the subspace of Rª which is spanned by the vectors a₁ = (-1,1,2,5), α₂ = (0,0,-1,-2) a3 = (2,-2,3,4), a₁ = (1,-1,2,3). Find a basis for the annihilator W° of W.
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