range & kernel
Work in Progress
Summary
Rank and injectivity/surjectivity
Equivalent statements of invertibility
Concept
set of vectors that gets mapped to
Rank
Kernel
set of vectors that map to 0
Nullity
1-1 (injective)
if multiple vectors map to 0, then it cannot be 1-1
onto (surjective)
every
is mapped to by at least one
Bijectivity and invertibility