Let v, w be elements of a vector space and assume v does not equal 0. If v, w are linear dependent, show that there is a number x such that w=xv. Thanks for any help, Mark.

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- Feb 15th 2009, 06:53 AMmark talaricolinearly dependent scalars
Let v, w be elements of a vector space and assume v does not equal 0. If v, w are linear dependent, show that there is a number x such that w=xv. Thanks for any help, Mark.

- Feb 15th 2009, 09:59 AMPlato
By definition of dependence .

Then if then .

But which is a contradiction.