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Glyph for U+22B9
Source: Noto Sans Math

U+22B9 Hermitian Conjugate Matrix

U+22B9 was added in Unicode version 1.1 in 1993. It belongs to the block U+2200 to U+22FF Mathematical Operators in the U+0000 to U+FFFF Basic Multilingual Plane.

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: conjugate, hermitian, mathematics, matrix, self-adjoint, square.

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: A  is Hermitian a i j = a j i ¯

or in matrix form: A  is Hermitian A = A T ¯ .

Hermitian matrices can be understood as the complex extension of real symmetric matrices.

If the conjugate transpose of a matrix A is denoted by A H , then the Hermitian property can be written concisely as

A  is Hermitian A = A H

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 A H = A = A , although in quantum mechanics, A typically means the complex conjugate only, and not the conjugate transpose.

Representations

System Representation
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 ⊹
Encoding: GB18030 (hex bytes) 81 36 E0 35
LATEX \hermitconjmatrix

Elsewhere

Complete Record

Property Value
Age (age) 1.1 (1993)
Unicode Name (na) HERMITIAN CONJUGATE MATRIX
Unicode 1 Name (na1)
Block (blk) Mathematical Operators
General Category (gc) Math Symbol
Script (sc) Common
Bidirectional Category (bc) Other Neutral
Combining Class (ccc) Not Reordered
Decomposition Type (dt) none
Decomposition Mapping (dm) Glyph for U+22B9 Hermitian Conjugate Matrix
Lowercase (Lower)
Simple Lowercase Mapping (slc) Glyph for U+22B9 Hermitian Conjugate Matrix
Lowercase Mapping (lc) Glyph for U+22B9 Hermitian Conjugate Matrix
Uppercase (Upper)
Simple Uppercase Mapping (suc) Glyph for U+22B9 Hermitian Conjugate Matrix
Uppercase Mapping (uc) Glyph for U+22B9 Hermitian Conjugate Matrix
Simple Titlecase Mapping (stc) Glyph for U+22B9 Hermitian Conjugate Matrix
Titlecase Mapping (tc) Glyph for U+22B9 Hermitian Conjugate Matrix
Case Folding (cf) Glyph for U+22B9 Hermitian Conjugate Matrix
ASCII Hex Digit (AHex)
Alphabetic (Alpha)
Bidi Control (Bidi_C)
Bidi Mirrored (Bidi_M)
Composition Exclusion (CE)
Case Ignorable (CI)
Changes When Casefolded (CWCF)
Changes When Casemapped (CWCM)
Changes When NFKC Casefolded (CWKCF)
Changes When Lowercased (CWL)
Changes When Titlecased (CWT)
Changes When Uppercased (CWU)
Cased (Cased)
Full Composition Exclusion (Comp_Ex)
Default Ignorable Code Point (DI)
Dash (Dash)
Deprecated (Dep)
Diacritic (Dia)
Emoji Modifier Base (EBase)
Emoji Component (EComp)
Emoji Modifier (EMod)
Emoji Presentation (EPres)
Emoji (Emoji)
Extender (Ext)
Extended Pictographic (ExtPict)
FC NFKC Closure (FC_NFKC) Glyph for U+22B9 Hermitian Conjugate Matrix
Grapheme Cluster Break (GCB) Any
Grapheme Base (Gr_Base)
Grapheme Extend (Gr_Ext)
Grapheme Link (Gr_Link)
Hex Digit (Hex)
Hyphen (Hyphen)
ID Continue (IDC)
ID Start (IDS)
IDS Binary Operator (IDSB)
IDS Trinary Operator and (IDST)
IDSU (IDSU) 0
ID_Compat_Math_Continue (ID_Compat_Math_Continue) 0
ID_Compat_Math_Start (ID_Compat_Math_Start) 0
Ideographic (Ideo)
InCB (InCB) None
Indic Mantra Category (InMC)
Indic Positional Category (InPC) NA
Indic Syllabic Category (InSC) Other
Jamo Short Name (JSN)
Join Control (Join_C)
Logical Order Exception (LOE)
Modifier Combining Mark (MCM)
Math (Math)
Noncharacter Code Point (NChar)
NFC Quick Check (NFC_QC) Yes
NFD Quick Check (NFD_QC) Yes
NFKC Casefold (NFKC_CF) Glyph for U+22B9 Hermitian Conjugate Matrix
NFKC Quick Check (NFKC_QC) Yes
NFKC_SCF (NFKC_SCF) Glyph for U+22B9 Hermitian Conjugate Matrix
NFKD Quick Check (NFKD_QC) Yes
Other Alphabetic (OAlpha)
Other Default Ignorable Code Point (ODI)
Other Grapheme Extend (OGr_Ext)
Other ID Continue (OIDC)
Other ID Start (OIDS)
Other Lowercase (OLower)
Other Math (OMath)
Other Uppercase (OUpper)
Prepended Concatenation Mark (PCM)
Pattern Syntax (Pat_Syn)
Pattern White Space (Pat_WS)
Quotation Mark (QMark)
Regional Indicator (RI)
Radical (Radical)
Sentence Break (SB) Other
Soft Dotted (SD)
Sentence Terminal (STerm)
Terminal Punctuation (Term)
Unified Ideograph (UIdeo)
Variation Selector (VS)
Word Break (WB) Other
White Space (WSpace)
XID Continue (XIDC)
XID Start (XIDS)
Expands On NFC (XO_NFC)
Expands On NFD (XO_NFD)
Expands On NFKC (XO_NFKC)
Expands On NFKD (XO_NFKD)
Bidi Paired Bracket (bpb) Glyph for U+22B9 Hermitian Conjugate Matrix
Bidi Paired Bracket Type (bpt) None
East Asian Width (ea) neutral
Hangul Syllable Type (hst) Not Applicable
ISO 10646 Comment (isc)
Joining Group (jg) No_Joining_Group
Joining Type (jt) Non Joining
Line Break (lb) Alphabetic
Numeric Type (nt) none
Numeric Value (nv) not a number
Simple Case Folding (scf) Glyph for U+22B9 Hermitian Conjugate Matrix
Script Extension (scx)
Vertical Orientation (vo) R