How do I prove: (A^-1)^T = (A^T)^-1

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- Jan 24th 2010, 08:00 PMNoxideProof of transpose
How do I prove: (A^-1)^T = (A^T)^-1

- Jan 24th 2010, 08:18 PMBruno J.
Apply $\displaystyle (AB)^T=B^TA^T$ to $\displaystyle AA^{-1}=I$.

- Jan 24th 2010, 08:21 PMNoxide
am I allowed to combine the inverse and tranpose symbols into: A^-T

- Jan 24th 2010, 09:15 PMBruno J.
You won't go to prison for it, so I guess you're allowed. But it's neither good nor standard notation.

- Jan 24th 2010, 10:35 PMDrexel28
- Jan 24th 2010, 11:34 PMMoo
- Jan 25th 2010, 08:30 AMBruno J.
- Jan 25th 2010, 08:48 AMDrexel28