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 |
rank(U) = 3 |