what is the meaning of hormomorphisms in linear algebra

Question

anonymous · Answer

A function between vector spaces  that preserves the operations of addition
if  then and scalar multiplication
if  and  then is a homomorphism or linear map.

dape · Answer

@uzumakhi is right, in practice this means that a homomorphism or linear transformation will always maps the vectors along a straigt line to a straight line or to a single point. So the vectors can't change direction under a linear transformation.

anonymous · Answer

http://en.wikipedia.org/wiki/Algebra_homomorphism I think this has got something well expplained.. i think it can help you...

anonymous · Answer

http://en.wikipedia.org/wiki/Linear_map is the case for linear algebra