Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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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.
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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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