# Tag Archives: linear algebra

## Shortcuts to diagonalize a 2×2 matrix

Matrix diagonalization is one of my favourite topics in linear algebra. I still remember learning it for the first time and being quite awed by it. What is diagonalization? If $A$ is a square matrix, the diagonalization is finding an invertible matrix $P$ such that $P^{-1}AP = D$ where $D$ is a diagonal matrix. It’s […]

## 60 Linear (Matrix) Algebra Questions

I sometimes am a teaching assistant for MATH 133 at McGill, and introductory linear algebra course that covers linear systems, diagonalisation, geometry in two and three dimensional Euclidean space, and the vector space $\mathbb{R}^n$, and I’ve collected a few theoretical questions here that I like to use in the hope that they may be […]