Determine whether the following sets are subspaces of R³. Realize number 4 as the span of a collection of vectors. Justify your answers. 1. W₁ = = 2. W₂ = = 3. W3 = = a1 {}] a₂ € R³: a₁ = 3a2 and a3 = -A₂ -93) a1 a2 a3 a1 E a2 a3 € R³: : a₁ = a3 + 2 +9₁=0} E R³2a1 - 7a2 + a3
Determine whether the following sets are subspaces of R³. Realize number 4 as the span of a collection of vectors. Justify your answers. 1. W₁ = = 2. W₂ = = 3. W3 = = a1 {}] a₂ € R³: a₁ = 3a2 and a3 = -A₂ -93) a1 a2 a3 a1 E a2 a3 € R³: : a₁ = a3 + 2 +9₁=0} E R³2a1 - 7a2 + a3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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