Linear Dependence with Zero Vector: A Simple Solution?

Thread starter eyehategod
Start date Nov 4, 2007
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eyehategod

Thread starter
Nov 4, 2007

I have to prove that a set that has the zero vector is linearly dependent. Can anyone help me out?

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Dick

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Nov 4, 2007

As usual a set {x1,x2...} is linearly dependent if you can find constants (not all zero) such that c1*x1+c2*x2+...=0. What happens if there is only one vector? Doesn't that make it easy?

Linear Dependence with Zero Vector: A Simple Solution?

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Linear Dependence with Zero Vector: A Simple Solution?

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