not just Vector space.......whats in a Space

Are u Normal - has changed its meaning with new dimensions and conjugates attached
properties to see n associate
when vector space is all around and spanning it needs full rank
nullity .........
no I can say - I am not Normal
Unitary?? Oh Don ask.......
how about nilpotent - well stop there n then
Normal would be fine
just to define
The Space is Euclidean or Riemannian
who cares less??
till u can have a notion of Operators n Functionals
don ruin the fun -of geometric interpretation
Like a line within circle being a tangent
n Circle just not being finite
thats not the type
lets go back
to check eigen values
n characteristic equations
n find the kernel -to define the world
change ur basis -if it don fit
check for bijection/isomorphism
but first of all check for linear independence
whats so special of monic polynomial
is it something like being minimal
or whats with this companion form
and A-invariant subspace