Linear Algebra Symbols
Symbol | Symbol Name | Meaning / definition | Example |
---|---|---|---|
· | dot | scalar product | a · b |
× | cross | vector product | a × b |
A⊗B | tensor product | tensor product of A and B | A ⊗ B |
inner product | |||
[ ] | brackets | matrix of numbers | |
( ) | parentheses | matrix of numbers | |
| A | | determinant | determinant of matrix A | |
det(A) | determinant | determinant of matrix A | |
|| x || | double vertical bars | norm | |
A^{T} | transpose | matrix transpose | (A^{T})_{ij} = (A)_{ji} |
A^{†} | Hermitian matrix | matrix conjugate transpose | (A^{†})_{ij} = (A)_{ji} |
A^{*} | Hermitian matrix | matrix conjugate transpose | (A^{*})_{ij} = (A)_{ji} |
A^{ -1} | inverse matrix | A A^{-1} = I | |
rank(A) | matrix rank | rank of matrix A | rank(A) = 3 |
dim(U) | dimension | dimension of matrix A | dim(U) = 3 |