Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in the span of the basis b. find two vectors that are not in the span of the basis. c. find one vector in the nullspace of the basis. d. are the three basis vectors independent?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 12E
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Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in the span of the basis b. find two vectors that are not in the span of the basis. c. find one vector in the nullspace of the basis. d. are the three basis vectors independent?
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