nLab
square matrix
Contents
Context
Linear algebra
linear algebra, higher linear algebra
Ingredients
Basic concepts
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ring, A-∞ ring
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commutative ring, E-∞ ring
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module, ∞-module, (∞,n)-module
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field, ∞-field
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vector space, 2-vector space
rational vector space
real vector space
complex vector space
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topological vector space
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linear basis,
orthogonal basis, orthonormal basis
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linear map, antilinear map
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matrix (square, invertible, diagonal, hermitian, symmetric, …)
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general linear group, matrix group
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eigenspace, eigenvalue
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inner product, Hermitian form
Gram-Schmidt process
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Hilbert space
Theorems
(…)
Contents
Idea
A square matrix is an -matrix for .
Under matrix multiplication the square matrices for fixed with values in some commutative ring form the matrix algebra , inside which one finds matrix groups etc.
Properties
Gershgorin circle theorem
See at Gershgorin circle theorem.
Last revised on May 21, 2024 at 13:11:33.
See the history of this page for a list of all contributions to it.