Let Am,n be any matrix
If \(\displaystyle (A \cdot B) \) = \(\displaystyle A^* \cdot B^* \) and \(\displaystyle (A^*)^* = A \) ,
Then \(\displaystyle (A^* \cdot A)^* \) = \(\displaystyle (A^*)^* \cdot A^* \) = \(\displaystyle A \cdot A^* \)
But then also
\(\displaystyle (A^* \cdot A)^* = \overline{(\overline{A^\top}\cdot A)^\top} = (A^* \cdot A) \)
What am I doing wrong?
EDIT: Also, where can I find a comprehensive guide for the forum notations?
Thanks
If \(\displaystyle (A \cdot B) \) = \(\displaystyle A^* \cdot B^* \) and \(\displaystyle (A^*)^* = A \) ,
Then \(\displaystyle (A^* \cdot A)^* \) = \(\displaystyle (A^*)^* \cdot A^* \) = \(\displaystyle A \cdot A^* \)
But then also
\(\displaystyle (A^* \cdot A)^* = \overline{(\overline{A^\top}\cdot A)^\top} = (A^* \cdot A) \)
What am I doing wrong?
EDIT: Also, where can I find a comprehensive guide for the forum notations?
Thanks
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