# Linear Algebra

Last updated: Wed, 26 Sep 2018

$A = \begin{bmatrix} 1 & 2 \\ 2 & 1 \end{bmatrix}$

$$\lambda = 1, 3$$ are the eigenvalues, which can be determined by solving $$det(A - \lambda I) = 0$$

The matrix can be factorized as $$\begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$$ and $$\begin{bmatrix} -1 & 1 \\ 1 & -1 \end{bmatrix}$$

Vector spaces are defined over a field $$\mathbb{F}$$.