Algosim documentation: ConjugateTranspose

ConjugateTranspose

Complex conjugate of a number or conjugate transpose of a matrix.

Syntax

Description

Vectors are treated like column matrices. Hence,

Notes

The * postfix operator is implemented by the ConjugateTranspose function.

Examples

(1 + 3⋅i)*
1 − 3⋅i
❨5, 0, i❩*
( 5   0  −i)
A ≔ ❨❨2, 1, −i❩, ❨1, 0, 2❩, ❨4, i, 2❩, ❨0, 1, −1❩❩
⎛ 2   1  −i⎞
⎜ 1   0   2⎟
⎜ 4   i   2⎟
⎝ 0   1  −1⎠
A*
⎛ 2   1   4   0⎞
⎜ 1   0  −i   1⎟
⎝ i   2   2  −1⎠

See also