New posts in Vector Spaces

$AB-BA$ invertible and $A^2+B^2 = AB$ then $3$ divides $n$

Is $\mathbb{Q}$ a vector space over $\mathbb{Z}$ or $\mathbb{Q}$?

Is the uniqueness of the additive neutral element sufficient to prove x+z=x implies z=0?

How to show that $\dim\ker(AB) \le \dim \ker A + \dim \ker B $?

Finding irrational entries such that the determinant will never be zero

Which vector spaces are algebraic dual spaces?

Real n-by-n Matrices...

If $\ker f\subset \ker g$ where $f,g $ are non-zero linear functionals then show that $f=cg$ for some $c\in F$.

divergence in polar coordinates

Find locus of points by finding eigenvalues