You are using the new UI (Beta).Return to the original UI

This page has been automatically translated by machine translation. Please note that translations may not be entirely accurate.

keisanHigh-precision calculations for everyday life and work

Adjoint Matrix

Manage Bookmarks
Calculates the adjoint matrix (Hermitian conjugate) of a matrix.
The adjoint matrix is the matrix A* obtained by transposing matrix A and taking the complex conjugates of its elements.
\(\hspace{60px} A\hspace{130px}A^{\ast}\\ \normalsize {\left[\begin{array}\\ a_{\small 11}& a_{\small 12}& \cdots& a_{\small 1j}\\ a_{\small 21}& a_{\small 22}& \cdots& a_{\small 2j}\\ \vdots& \vdots& \ddots& \vdots\\a_{\small i1}& a_{\small i2}& \cdots& a_{\small ij}\\\end{array}\right]} \ \rightarrow\ {\left[\begin{array}\\ \bar{a}_{\small 11}& \bar{a}_{\small 21}& \cdots& \bar{a}_{\small i1}\\ \bar{a}_{\small 12}& \bar{a}_{\small 22}& \cdots& \bar{a}_{\small i2}\\ \vdots& \vdots& \ddots& \vdots\\\bar{a}_{\small 1j}& \bar{a}_{\small 2j}& \cdots& \bar{a}_{\small ij}\\\end{array}\right]}\\ \)
(Click on each cell in the matrix to enter values)
Matrix A
{aij} 
 i\j 12
1
2+3i
3-i
2
1+i
4-2i
3
2i
1+3i
\( A^{\ast}=\bar{A^t}=\bar{A}^t\)

No customer feedback for this calculation yet.