New posts in Vector Spaces

Are all finite-dimensional algebras of a fixed dimension over a field isomorphic to one another?

Is there a way to determine the eigenvectors of a matrix without working out the eigenvalues?

a linear map on $W$

Argument of Feynman for equivalence of dot product definitions

If $A$ is a real or complex algebra and $a\in A$ is such that $ab=0$ for all $b\in A$, then $a=0$?

Field with characteristic zero is vector space over $\mathbb{Q}$

Vector spaces "over a field"

Why can a vector from an infinite-dimensional vector space be written as finite linear combination?

linear combination, span, independence and bases for infinite dimensional vector spaces.

Why don't we study 'metric vector spaces' on their own?