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Basic Notation
Capital letters represent matrices: $A, B, C$
Lowercase letters represent vectors: $u, v, w$
Matrix $A$ has $m$ rows and $n$ columns: $A \in \mathbb{R}^{m \times n}$
The transpose of matrix $A$: $A^T$
The transpose of vector $v$: $v^T$
The inverse of matrix $A$: $A^{-1}$
The determinant of matrix $A$: $\det(A)$
Matrix multiplication of matrices $A$ and $B$
