nLab
diagonal 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 whose values for are all zero is called a diagonal matrix.
Examples
A diagonal matrix with value 1 on the diagonal is an identity matrix.
Properties
Diagonal matrices form the center of the ring of matrices under matrix multiplication.
References
See also
Last revised on October 19, 2022 at 07:20:06.
See the history of this page for a list of all contributions to it.