In each part, determine whether the given vectors span R3. (a) vị = (2, 2, 2), v2= (0, 0, 3), v3 = (0, 1, 1) (b) vị = (2, – 1, 3), v2= (4, 1, 2), v3 = (8, – 1, 8) (c) vị = (3, 1, 4), v2= (2, – 3, 5), v3= (5, – 2, 9), v4= (1,4, – 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 28E
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In each part, determine whether the given vectors span R3.
(a) vị = (2, 2, 2), v2= (0, 0, 3), v3 = (0, 1, 1)
(b) vị = (2, – 1, 3), v2 = (4, 1, 2), v3= (8, – 1, 8)
(c) v1 = (3, 1,4), v2= (2, – 3, 5), v3 = (5, – 2, 9), v4= (1,4, – 1)
(d) vị = (1, 2, 6), v2= (3,4, 1), v3 = (4, 3, 1), v4= (3, 3, 1)
Transcribed Image Text:In each part, determine whether the given vectors span R3. (a) vị = (2, 2, 2), v2= (0, 0, 3), v3 = (0, 1, 1) (b) vị = (2, – 1, 3), v2 = (4, 1, 2), v3= (8, – 1, 8) (c) v1 = (3, 1,4), v2= (2, – 3, 5), v3 = (5, – 2, 9), v4= (1,4, – 1) (d) vị = (1, 2, 6), v2= (3,4, 1), v3 = (4, 3, 1), v4= (3, 3, 1)
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