Every operator on a non-trivial complex finite dimensional vector space has an eigenvector, solving the invariant subspace problem for these spaces. (Image credit: ...

Prerequisite: MTH 419 Description: Definitions and elementary properties of groups and fields, vector space, linear space, linear dependence, dimension, vector space homomorphisms, kernel and cokernel ...

In the early 20th century, Albert Einstein completely redefined the way we perceive time and space. Three-dimensional space gained a fourth dimension—time, and the concepts of time and space, so ...