---

Dimensionality: Vectors

The outer product

\[\begin{equation*}
  M = \vec{u} \otimes \vec{v}
\end{equation*}
\]

of two vectors

• \(\vec{u} \in \mathbb{R}^{m}\)
• \(\vec{v} \in \mathbb{R}^{n}\)

is a matrix \(M \in \mathbb{R}^{m \times n}\).