Linear Algebra Symbols
Linear Algebra: Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. It includes the study of lines, planes, and subspaces, but is also concerned with properties common to all vector spaces.
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 |
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