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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.
38
votes
When to pick a basis?
If we restrict ourselves to the field of linear algebra,
my personal point of view, which I do not want to force on anybody,
is that one should never use bases, matrices, or coordinates. … All of this is fully rigorous and all theorems and their proofs become trivial once you have a geometric intuition
for all definitions, and you don't need any bases, coordinates, or matrices, even when …