• ## Eigenvalue

A value which describes how much a transformation scales an Eigenvector

• ## Eigenvector

A set of vectors whose span doesn't change after a transformation.

• ## Changing Basis

Since any vectors can be Basis Vectors, it's useful to understand how to translate vectors between bases

• ## Cross Product

An operation between two 3d vectors that returns a vector.

• ## Matrix Determinate

A measure of how a matrix scales space.

• ## Basis Vectors

The set of vectors that defines space.

• ## Identity Matrix

When you multiply a matrix $(A)$ by the Identity Matrix $(I)$, you get the original matrix back.

$A …$

$\stackrel{⃗}{a}+\stackrel{⃗}{b}=\left[\begin{array}{c}{a}_{1}\\ {a}_{2}\end{array}\right]+\left[\begin{array}{c}{b}_{1}\\ {b}_{2}\end{array}\right]=\left[\begin{array}{c}{a}_{1}+{b}_{1 \dots }\end{array}$
$\stackrel{⃗}{a}-\stackrel{⃗}{b}=\left[\begin{array}{c}{a}_{1}\\ {a}_{2}\end{array}\right]-\left[\begin{array}{c}{b}_{1}\\ {b}_{2}\end{array}\right]=\left[\begin{array}{c}{a}_{1}-{b}_{1 \dots }\end{array}$