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Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.

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Idempotent Matrix non diagonal terms as a function of diagonal terms

Assuming the construction of an idempotent symmetric matrix ($𝐴=𝐴^𝑇$ and $𝐴=𝐴^2$). Is there any way to write the terms of this matrix as a function of its diagonal terms ? For a 3x3 matrix, the s …