##### Lecture on Conjugate of Matrix
Content covered:

Conjugate of Matrix ($A^-$):

$A= \begin{bmatrix}3+2i&6+i&4\\4-i&7+2i&3-4i\end{bmatrix}$ then , $A^-= \begin{bmatrix}3-2i&6-i&4\\4+i&7-2i&3+ 4i\end{bmatrix}$

Properties of conjugate of matrix are:

1. $A^-=A$
2. $(A+B)^-=A^-+B^-$
3. $(KA)^-=K^-A^-$
4. $(AB)^-=A^-B^-$
5. If $(A^-)=-A$ // It means matrix contains only imaginary values

Transpose conjugate ($A^ \Theta$
) = ($A^-$)'

Properties of transpose conjugate:

1. $(A^ \Theta )^ \Theta$
= A
2. ($(A+B )^ \Theta$
) = $(A^ \Theta ) +(B ^ \Theta )$
3. $(AB )^ \Theta=B^ \Theta A^ \Theta$