Linear and multilinear algebra; matrix theory Concept
Square matrix
Summary
A square matrix is a matrix with the same number of rows and columns.
Where this leads
27 pages build on this one.
- Triangular matrix
- Spectral radius
- Doubly stochastic matrix
- Central polynomial
- Kaplansky's theorem on PI rings
- Logarithm of a matrix
- Generic matrix algebra
- Parry measure
- M-matrix
- Eigendecomposition
- Posner's theorem
- Lie product formula
- Unimodular matrix
- Tridiagonal matrix
- Hurwitz-stable matrix
- Permanent
- Hessenberg matrix
- Schur decomposition
- Stein equation
- Matrix function
- Square root of a matrix
- Amitsur–Levitzki theorem
- Diagonally dominant matrix
- Golden–Thompson inequality
- Irreducible matrix
- Lyapunov equation
- Drazin inverse
Further reading
- Web https://en.wikipedia.org/wiki/Square_matrix, lead section
About this page
| Tag | 0JXZKX526R |
|---|---|
| URI | m2://0JXZKX526R |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A99 |
| Specializes | Matrix |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (1 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
- Lower triangular matrix
- Gram matrix
- Nilpotent matrix
- Diagonalisable matrix
- Adjugate matrix
- Invertible matrix
- Idempotent matrix
- Normal matrix
- Upper triangular matrix
- Skew-symmetric matrix
- Symmetric matrix
- Companion matrix
- Irreducible matrix
- Diagonally dominant matrix
- Hurwitz-stable matrix
- M-matrix
- Triangular matrix
- Hessenberg matrix
Instances
Definitions
Used by
- Triangular matrix
- Spectral radius
- Doubly stochastic matrix
- Central polynomial
- Logarithm of a matrix
- Generic matrix algebra
- M-matrix
- Eigendecomposition
- Lie product formula
- Unimodular matrix
- Tridiagonal matrix
- Hurwitz-stable matrix
- Permanent
- Hessenberg matrix
- Schur decomposition
- Stein equation
- Matrix function
- Square root of a matrix
- Amitsur–Levitzki theorem
- Diagonally dominant matrix
- Irreducible matrix
- Lyapunov equation
- Drazin inverse