Consider the following vectors: v1= [1 0 -1 2] v2= [1 -1 2 1] v3=[0 1 1 0] v4= [-1 2 -5 0] a) Use the gauss jordan elimination to determine which of the vectors are linearly independent and which are not. b) Use the results of part a to express the dependent vectors as a linear combination of the independent vectors.
Consider the following vectors: v1= [1 0 -1 2] v2= [1 -1 2 1] v3=[0 1 1 0] v4= [-1 2 -5 0] a) Use the gauss jordan elimination to determine which of the vectors are linearly independent and which are not. b) Use the results of part a to express the dependent vectors as a linear combination of the independent vectors.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Consider the following
v1= [1 0 -1 2]
v2= [1 -1 2 1]
v3=[0 1 1 0]
v4= [-1 2 -5 0]
a) Use the gauss jordan elimination to determine which of the vectors are linearly independent and which are not.
b) Use the results of part a to express the dependent vectors as a linear combination of the independent vectors.
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