Linear Alegbra and Vectors : Linear Dependence
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Determine whether or not the following set of vectors in R4 is linearly independent?
u=(1,0,3,0) v=(2,1,1,3) w=(1,2,-7,6)
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Solution:
Set
k1u+k2v+k3w=0, we have k1(1,0,3,0)+k2(2,1,1,3)+k3(1,2,-7,6)=0
Thus.
k1+2k2+k3=0 ...
Solution Summary
A set of vectors are found to be not linearly dependent. Linearly independent vectors are analyzed.
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