Tool to calculate the complex conjugate matrix. The complex conjugate of a matrix M is a matrix denoted $ \overline{M} $ composed of the complex conjugate values of each element.

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For the matrix $ M=[a_{ij}] $, the conjugate matrix is noted with a bar $ \overline{M} $ or with an asterisk $ M^{*} $. For a complex value $ z $, its conjugated value is written $ \overline{z} $ or $ z^{*} $. By generalizing, the formula for calculating the conjugate matrix is:

Use the character i to represent $ i $ the imaginary unit for complex numbers.

What are the properties of a conjugate matrix?

A double conjugated matrix (conjugated two times) is equal to the original matrix. $$ \overline{\overline{M}}=M $$

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Thanks to your feedback and relevant comments, dCode has developed the best 'Complex Conjugate Matrix' tool, so feel free to write! Thank you!

Thanks to your feedback and relevant comments, dCode has developed the best 'Complex Conjugate Matrix' tool, so feel free to write! Thank you!