Let and . For what value(s) of h is b in the plane spanned by and ?

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- Sep 15th 2008, 04:41 PMLinnusLinear algebra plane span
Let and . For what value(s) of h is b in the plane spanned by and ?

- Sep 15th 2008, 05:00 PMThePerfectHacker
You are asking for what does there exists real numbers so that ?

This leads to the equations,

We want this system to be__consistent__i.e. it has solutions.

Convert this equation into a matrix,

Now use Gauss-Jordan elimination to reduce it you should get on the bottom row something like: .

Then in order for it to be consider that expression of needs to be equal to zero.