Hey I'd appreciate it if somebody could "yay or nay" my understanding of the following concepts, I think I'm mixing something up.(adsbygoogle = window.adsbygoogle || []).push({});

[tex] 1. Complex Matrix [/tex]

[tex] A =

\begin{bmatrix}

1 & 1 + i & 2 + i \\

2 + 3i & 4 - i & 3 + 2i

\end{bmatrix}

[/tex]

[tex] 2. Complex Conjugate Matrix [/tex]

[tex] \overline{A} =

\begin{bmatrix}

1 & 1 - i & 2 - i \\

2 - 3i & 4 + i & 3 - 2i \end{bmatrix} [/tex]

[tex] 3. Transpose Matrix [/tex]

[tex] A^T =

\begin{bmatrix}

1 & 2 - 3i \\

1 - i & 4 + i\\

2 - i & 3 - 2i

\end{bmatrix} [/tex]

[tex] 4. Conjugate Transpose Matrix [/tex]

[tex] \overline{A}^T =

\begin{bmatrix}

1 & 2 + 3i \\

1 + i & 4 - i\\

2 + i & 3 + 2i

\end{bmatrix} [/tex]

I think these last two may be confused or maybe even the 4th one is just my invention.

I'd appreciate a word of comment should any corrections be required.

5: What does [tex] A^* [/tex] usually signify, is it the complex conjugate or the complex transpose (assuming it exists).

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linear Algebra Clarifications

Loading...

Similar Threads - Linear Algebra Clarifications | Date |
---|---|

I Linear mapping of a binary vector based on its decimal value | Yesterday at 6:13 PM |

I Geometric intuition of a rank formula | Feb 8, 2018 |

I Tensors vs linear algebra | Jan 28, 2018 |

I Is there a geometric interpretation of orthogonal functions? | Jan 25, 2018 |

I Diagonalization and change of basis | Jan 16, 2018 |

**Physics Forums - The Fusion of Science and Community**