U+22B9 Hermitian Conjugate Matrix
U+22B9 was added in Unicode version 1.1 in 1993. It belongs to the block
This character is a Math Symbol and is commonly used, that is, in no specific script.
The glyph is not a composition. It has no designated width in East Asian texts. In bidirectional text it acts as Other Neutral. When changing direction it is not mirrored. The word that U+22B9 forms with similar adjacent characters prevents a line break inside it.
The CLDR project calls this character “hermitian conjugate matrix” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: mathematics, self-adjoint matrix, square matrix.
The Wikipedia has the following information about this codepoint:
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the i-th row and j-th column is equal to the complex conjugate of the element in the j-th row and i-th column, for all indices i and j:
or in matrix form:
Hermitian matrices can be understood as the complex extension of real symmetric matrices.
If the conjugate transpose of a matrix is denoted by then the Hermitian property can be written concisely as
Hermitian matrices are named after Charles Hermite, who demonstrated in 1855 that matrices of this form share a property with real symmetric matrices of always having real eigenvalues. Other, equivalent notations in common use are although in quantum mechanics, typically means the complex conjugate only, and not the conjugate transpose.
Representations
System | Representation |
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Nº | 8889 |
UTF-8 | E2 8A B9 |
UTF-16 | 22 B9 |
UTF-32 | 00 00 22 B9 |
URL-Quoted | %E2%8A%B9 |
HTML hex reference | ⊹ |
Wrong windows-1252 Mojibake | ⊹ |
HTML named entity | ⊹ |
LATEX | \hermitconjmatrix |
Elsewhere
Complete Record
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1.1 (1993) | |
HERMITIAN CONJUGATE MATRIX | |
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