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Dec21-10, 08:45 AM
micromass's Avatar
P: 18,331
Linear transformations - Proving that a set generates the targe space

OK, that's good. I'll also assume that you're working with [tex]\mathbb{R}[/tex] vector spaces, not that it matters a lot...

Now consider the vector space [tex]E=\mathbb{R}^X[/tex]. Can you find a basis for this vector space? Can you find an easy linear transformation f:E-->F??