---
title: "Vector Calculus Primer"
type: concept
related: [Vector Calculus Primer]
source: https://www.jemoka.com/posts/kbhvector_calculus_primer/
confidence: high
status: active
---

A primer on Vector Calculus.
trace constituents for square \(A \in \mathbb{R}^{m\times m}\), we write:
requirements \(\text{tr}\qty(A) = \sum_{i}^{} A_{ii}\) is the sum of the diagonals
additional information properties of traces \begin{equation} \text{tr}\qty(AB) = \text{tr}\qty(BA) \end{equation}
\begin{equation} \text{tr}\qty(ABC) = \text{tr}\qty(CAB) \end{equation}
\begin{equation} \nabla_{A} \qty [\text{tr}\qty(AB)] = B^{T} \end{equation}
