Which of the following subsets of R* is basis of R*. B1 = {(1, 0, 0, 0), (1, 1, 0, 0), (1, 1, 1, 0), (1, 1, 1, 1)} B2 = {(1, 0, 0, 0), (1, 2, 0, 0), (1, 2, 3,'0), (1, 2, 3, 4)} B3 = {(1, 2, 0, 0), (0, 0, 1, 1), (2, 1, 0, 0), (-5, 5, 0, 0)} (a) Bị and B2 but not B3-s (c) Bị and B3 but not B2 %3D %3D (b) B1, B2 and B3 (d) Only B1
Which of the following subsets of R* is basis of R*. B1 = {(1, 0, 0, 0), (1, 1, 0, 0), (1, 1, 1, 0), (1, 1, 1, 1)} B2 = {(1, 0, 0, 0), (1, 2, 0, 0), (1, 2, 3,'0), (1, 2, 3, 4)} B3 = {(1, 2, 0, 0), (0, 0, 1, 1), (2, 1, 0, 0), (-5, 5, 0, 0)} (a) Bị and B2 but not B3-s (c) Bị and B3 but not B2 %3D %3D (b) B1, B2 and B3 (d) Only B1
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 68E: Find all subsets of the set S={(1,3,2),(4,1,1),(2,7,3),(2,1,1)} that form a basis for R3.
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![Which of the following subsets of R* is basis of R“.
B1 = {(1, 0, 0, 0), (1, 1, 0, 0), (1, 1, 1, 0), (1, 1, 1, 1)}
B2 = {(1, 0, 0, 0), (1, 2, 0, 0), (1, 2, 3,0), (1, 2, 3, 4)}
B3 = {(1, 2, 0, 0), (0, 0, 1,1), (2, 1, 0, 0), (-5, 5, 0, 0)}
(a) Bị and B2 but not B3- (b) B1, B2 and B3
(c) Bị and B3 but not B2
%3|
%3D
(d) Only B1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b9745a3-f370-480f-87c6-2a040137874d%2Fab430c6f-f4e2-41d0-b21e-4ff7334d39ab%2Fmyrcgc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following subsets of R* is basis of R“.
B1 = {(1, 0, 0, 0), (1, 1, 0, 0), (1, 1, 1, 0), (1, 1, 1, 1)}
B2 = {(1, 0, 0, 0), (1, 2, 0, 0), (1, 2, 3,0), (1, 2, 3, 4)}
B3 = {(1, 2, 0, 0), (0, 0, 1,1), (2, 1, 0, 0), (-5, 5, 0, 0)}
(a) Bị and B2 but not B3- (b) B1, B2 and B3
(c) Bị and B3 but not B2
%3|
%3D
(d) Only B1
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