Show that v1, v2, v3 are independent but v1, v2, v3, v4 are dependent: 2 0 V2 V3= V4 3 0 0 4 Solve c1v1 + C2V2 + C3V3 + C4v4 = 0 or Ax = 0. The v's go in the columns of A.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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1
Show that v1, v2, v3 are independent but V1, V2, V3, v4 are dependent:
=
V2=
v4= 3
--0--0--1--0
4
Solve c1v1 C2v2 + C3V3 + C4V4 = 0 or Ax = 0. The v's go in the columns of A.
Transcribed Image Text:1 Show that v1, v2, v3 are independent but V1, V2, V3, v4 are dependent: = V2= v4= 3 --0--0--1--0 4 Solve c1v1 C2v2 + C3V3 + C4V4 = 0 or Ax = 0. The v's go in the columns of A.
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