What is Kernel and Range of a linear transformation?

Question

kinggeorge · Answer

The kernel K of a linear transformation A, is the subset of the vector space your linear transformation acts on that is sent to 0.

kinggeorge · Answer

The range of a linear transformation is the subset of a vector space that is mapped to.

anonymous · Answer

so basically, Kernel  is the same as null space and Range is the span of column space

kinggeorge · Answer

Kernel and null space are the exact same thing (kernel can be applied to other mathematical things though).

As for range and span of column space, those would also be the same thing, with range being more easily applicable to other mathematical areas.