Determine whether S is a basis for the indicated vector space. S = {(0, 2, 0, −1), (0, −1, 2, 0), (4, 0, 3, 0), (0, 5, 0, 0)}  for R4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 70E: Find a basis for R3 that includes the vector (1,0,2) and (0,1,1).
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Determine whether S is a basis for the indicated vector space.

S = {(0, 2, 0, −1), (0, −1, 2, 0), (4, 0, 3, 0), (0, 5, 0, 0)}
 for R4
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