When dealing with $\Bbb{R}$ it is easy to visualise matrices as how they 'distort' space - I am wondering if, when dealing with $\Bbb{C}$ there is also a geometric way of visualising these matrices, or at least some sort of intuition behind them besides how the linear transformation acts on the basis. Specifically, what is the intuition/geometric visualisation behind a hermitian matrix and a positive definite matrix (e.g. an orthogonal matrix geometrically represents rotation/reflection/etc.). Cheers.
2026-04-29 13:07:56.1777468076
Complex Matrices Hermitian and Positive-Definite Intuition/Visualisation
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