Prove that if U,W,V are vector spaces above field F, then:
Hom(U,VxW) ~= Hom(U,V) x Hom(U,W)
("~=" - almost equals )
Thank you!
you're not doing anything but yelling for more help! by giving you the map i've already done most of the work for you. the rest is easy. show that is well-defined, linear, one-to-one and onto.
can't you do any of these? if you want me to write all details for you, that is not going to happen. sorry!