Show that the set is linearly dependent by finding a nontrivial Ilinear combination of vectors in the set whose sum is the zero vector. (Use s1, 52, and 53, respectively, for the vectors in the set.) S = {(3, 2), (-1, 1), (2, 0)} (0, 0) = Express the vector s in the set as a linear combination of the vectors s, and s3.

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
icon
Related questions
Question
Show that the set is linearly dependent by finding a nontrivial Ilinear combination of vectors in the set whose sum is the zero
vector. (Use s1, 52, and 53, respectively, for the vectors in the set.)
S = {(3, 2), (-1, 1), (2, 0)}
(0, 0) =
Express the vector s in the set as a linear combination of the vectors s, and s3.
Transcribed Image Text:Show that the set is linearly dependent by finding a nontrivial Ilinear combination of vectors in the set whose sum is the zero vector. (Use s1, 52, and 53, respectively, for the vectors in the set.) S = {(3, 2), (-1, 1), (2, 0)} (0, 0) = Express the vector s in the set as a linear combination of the vectors s, and s3.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer