Conjugate transpose: Difference between revisions

Revision as of 13:16, 20 July 2020

Revision as of 18:20, 31 August 2020

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:<math>\boldsymbol{A} = \begin{bmatrix} 1 & -2 - i & 5 \\ 1 + i & i & 4-2i \end{bmatrix}</math>

We first transpose the matrix:

:<math>\boldsymbol{A}^\mathrmmathsf{T} = \begin{bmatrix} 1 & 1 + i \\ -2 - i & i \\ 5 & 4-2i\end{bmatrix}</math>

Then we conjugate every entry of the matrix:

:<math>\boldsymbol{A}^\mathrm{H} = \begin{bmatrix} 1 & 1 - i \\ -2 + i & -i \\ 5 & 4+2i\end{bmatrix}</math>