Suppose you wish to determine whether a set of vectors is linearly independent. You form a matrix with those vectors as the columns and you calculate its reduced row echelon form, 1 0 0 1 0 1 0 1 R= 0012 0000 What do you decide? Page 35 These vectors are linearly independent. These vectors are not linearly independent, they are linearly dependent.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose you wish to determine whether a set of vectors is linearly independent. You form a matrix
with those vectors as the columns and you calculate its reduced row echelon form,
1
0 0 1]
1 0 1
R=
-
0
0012
0000
What do you decide?
Page 35
These vectors are linearly independent.
These vectors are not linearly independent, they are linearly dependent.
Transcribed Image Text:Suppose you wish to determine whether a set of vectors is linearly independent. You form a matrix with those vectors as the columns and you calculate its reduced row echelon form, 1 0 0 1] 1 0 1 R= - 0 0012 0000 What do you decide? Page 35 These vectors are linearly independent. These vectors are not linearly independent, they are linearly dependent.
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