In the space R^4, the sets are given: B:={(4,1,5,2),(0,1,2,1),(2,1,0,5),(0,−1,5,−8)} C:={(0,1,3,0),(2,0,1,1),(0,0,1,−1),(−2,1,2,−1)} Is B a spanning set of the subspace L(C) (L = linear span)?

In the space R^4, the sets are given: B:={(4,1,5,2),(0,1,2,1),(2,1,0,5),(0,−1,5,−8)} C:={(0,1,3,0),(2,0,1,1),(0,0,1,−1),(−2,1,2,−1)} Is B a spanning set of the subspace L(C) (L = linear span)?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.6: Solve Systems Of Equations Using Determinants

Problem 4.104TI: Determine whether the points (4,1),(6,2) and (2,4) are collinear.

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Question

In the space R^4, the sets are given: B:={(4,1,5,2),(0,1,2,1),(2,1,0,5),(0,−1,5,−8)} C:={(0,1,3,0),(2,0,1,1),(0,0,1,−1),(−2,1,2,−1)}

Is B a spanning set of the subspace L(C) (L = linear span)?

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