1. For each of the following sets of vectors in R³, determine whether the vectors span R³. For those sets that do not span give a vector in R3 that is not in the span. (a) {(1,2,0), (-1,0, 2), (3, 4, -2)}, (b) {(1, 1, 1), (1,-1, −1), (−1, 1, 1), (-1, -1, 1)}.
1. For each of the following sets of vectors in R³, determine whether the vectors span R³. For those sets that do not span give a vector in R3 that is not in the span. (a) {(1,2,0), (-1,0, 2), (3, 4, -2)}, (b) {(1, 1, 1), (1,-1, −1), (−1, 1, 1), (-1, -1, 1)}.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 27E: Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)
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