Find a subset of the given vectors that forms a basis for the space spanned by those vectors. {(2,0,0,0), (3, 5,0, 0), (0, 3, 0, 0), (2, 3, 4, 0)} a) {(2,0,0, 0), (3, 5, 0, 0), (0, 3, 0, 0), (2, 3, 4, 0)} b) {(2, 0, 0, 0), (3, 5, 0,0), (0, 3, 0,0)} c) {(3,5,0, 0), (2, 3, 4, 0)} d) {(2, 0, 0, 0), (0, 3, 0, 0)} e) {(2,0, 0, 0), (0, 3,0, 0), (2, 3, 4, 0)} O a O b O c O d O e

Find a subset of the given vectors that forms a basis for the space spanned by those vectors. {(2,0,0,0), (3, 5,0, 0), (0, 3, 0, 0), (2, 3, 4, 0)} a) {(2,0,0, 0), (3, 5, 0, 0), (0, 3, 0, 0), (2, 3, 4, 0)} b) {(2, 0, 0, 0), (3, 5, 0,0), (0, 3, 0,0)} c) {(3,5,0, 0), (2, 3, 4, 0)} d) {(2, 0, 0, 0), (0, 3, 0, 0)} e) {(2,0, 0, 0), (0, 3,0, 0), (2, 3, 4, 0)} O a O b O c O d O e

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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Find a subset of the given vectors that forms a basis for the space spanned by those vectors.
{(2,0, 0,0), (3, 5,0, 0), (0, 3, 0, 0), (2,3, 4, 0)}
a) {(2,0, 0, 0), (3, 5,0, 0), (0, 3, 0, 0), (2, 3, 4, 0)}
b) {(2, 0, 0, 0), (3, 5, 0, 0), (0, 3, 0, 0)}
c) {(3, 5,0, 0), (2, 3, 4, 0}
d) {(2, 0, 0, 0), (0, 3, 0, 0)}
e) {(2,0, 0, 0), (0, 3, 0, 0), (2, 3, 4, 0)}
d.

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