Linear transformations - Proving that a set generates the targe space

micromass

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??

micromass Mentor Blog Entries: 8	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??