ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
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Deduction system
Theory
Zermelo-Fraenkel set theory
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Binary cartesian set product
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Matrix trace
Complex matrix trace
Definition D5946
Real matrix trace
Formulation 0
Let $A \in \mathbb{R}^{N \times N}$ be a D6160: Real square matrix.
The trace of $A$ is the D993: Real number \begin{equation} \text{Trace} A : = \sum_{n = 1}^N A_{n, n} \end{equation}
Results
Real matrix trace is commutation invariant for two real matrices
Real matrix trace is preserved by transposing