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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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Finding the Square-Root of a Non-diagonalizable Positive Matrix
One does not actually need the Jordan form to construct a square root in the case of non-zero eigenvalues, although simply knowing that it exists is quite helpful. Let $a_1$, ..., $a_n$ denote the no …