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Quick Math Intuitions

Sharing quick intuitions for math ideas

Category: Linear algebra

Overdetermined and underdetermined systems of equations put simply

Stefano Ottolenghi2021-04-082022-11-101

Systems of equations are an evolution of equations, but they are often misunderstood. This article aims at providing real world examples and intuitions for systems of equations, and in particular…

Projection methods in linear algebra numerics

Stefano Ottolenghi2020-12-070

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…

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

Stefano Ottolenghi2019-02-112020-12-160

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…

Quick method to find line of shortest distance for skew lines

Stefano Ottolenghi2016-06-262016-10-152

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…

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