Not-So-Fun Exercise (Part of my Homework): Let $V$ and $W$ be finite-dimensional vector spaces. Show that $V^*\otimes W\cong\text{Hom}(V,W)$.

Question

across · Answer

I solved it; I am not cheating, lol.

across · Answer

$V^*$ is the dual space of $V$, $\text{Hom}(V,W)$ is the set of linear maps $V\to W$, and $V^*\otimes W$ is the tensor product of $V^*$ and $W$.

satellite73 · Answer

attachment

satellite73 · Answer

wish they  had google when i was in school, could have had a couple PhD's by now...

across · Answer

Except that oral examinations are used as great filters, lol.

satellite73 · Answer

true, but at least you can find sources without spending two hours in the stacks looking for a book that has the solution written out

across · Answer

I'd say competition increased in proportion to the technological advances.

zzr0ck3r · Answer

your crazy ihmo:) google, by far makes it waaaaaaaaaaaaay easier

zzr0ck3r · Answer

more people are doing it because it's easier :)

across · Answer

xD