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@jemoka / Jemoka Knowledge Base / wiki/concepts/vector_calculus_primer.md
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--- 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}