# Conjugate transpose (Hermitian transpose) Calculator

## Calculates the conjugate transpose(Hermitian transpose) of a matrix.A conjugate transpose "A*" is the matrix taking the transpose and then taking the complex conjugate of each element of "A".

 $\hspace{60} A\hspace{130}A^{\ast}\\\vspace{5}\normal {\left[\begin{array}\vspace{15} a_{\small 11}& a_{\small 12}& \cdots& a_{\small 1j}\\\vspace{15} a_{\small 21}& a_{\small 22}& \cdots& a_{\small 2j}\vspace{20}\\ \vdots& \vdots& \ddots& \vdots\vspace{15}\\a_{\small i1}& a_{\small i2}& \cdots& a_{\small ij}\\\end{array}\right]} \ \rightarrow\ {\left[\begin{array}\vspace{15} \bar{a}_{\small 11}& \bar{a}_{\small 21}& \cdots& \bar{a}_{\small i1}\\\vspace{15} \bar{a}_{\small 12}& \bar{a}_{\small 22}& \cdots& \bar{a}_{\small i2}\vspace{20}\\ \vdots& \vdots& \ddots& \vdots\vspace{15}\\\bar{a}_{\small 1j}& \bar{a}_{\small 2j}& \cdots& \bar{a}_{\small ij}\\\end{array}\right]}\\$
 matrix A {aij}
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt Conjugate transpose A*
 $A^{\ast}=\bar{A^t}=\bar{A}^t$

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