Linear algebra classes often jump straight to the definition of a projector (as a matrix) when talking about orthogonal projections in linear spaces. As often as it happens, it is…

# Category: Linear algebra

## Diagonalizing a matrix NOT having full rank: what does it mean?

This is going to be a quick intuition about what it means to diagonalize a matrix that does not have full rank (i.e. has null determinant). Every matrix can be…

## Overdetermined and underdetermined systems of equations put simply

This article aims at providing real world examples and links for overdetermined and undetermined systems of equations. Before starting, we will suppose that all over and underdetermined systems are obtained…

## Quick method to find line of shortest distance for skew lines

In linear algebra it is sometimes needed to find the equation of the line of shortest distance for two skew lines. What follows is a very quick method of finding…