## Linear Algebra Symbols

Symbol Symbol Name Meaning / definition Example
· dot scalar product · b
× cross vector product × b
AB 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
AT transpose matrix transpose (AT)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