Question

what is the meaning of hormomorphisms in linear algebra

Answer 1

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.

Answer 2

@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.

Answer 3

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

Answer 4

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