Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use s,, S,, and s,, respectively, for the vectors in the set.)S = {(5, 2), (-1, 1), (4, 0)}(0, 0) =Express the vector s, in the set as a linear combination of the vectors s, and s,.S1 =

Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use s,, S, and są, respectively, for the vectors in the set.) S = {(5, 2), (-1, 1), (4, 0)} (0, 0) = Express the vector s, in the set as a linear combination of the vectors s, and s2.

Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use s,, S, and są, respectively, for the vectors in the set.) S = {(5, 2), (-1, 1), (4, 0)} (0, 0) = Express the vector s, in the set as a linear combination of the vectors s, and s2.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 21EQ

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