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Timeline for Functoriality of adjugate matrix

Current License: CC BY-SA 3.0

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Sep 27, 2011 at 13:57 comment added joel @Manny-Reyes: i know that $\mathbf{AA}^\mathrm D = \mathbf A^\mathrm D \mathbf A = (\det \mathbf A) \mathbf I$ which gives our result if $\mathbf A$ is invertible, because then $\mathbf{AA}^{-1} = \mathbf A^{-1} \mathbf A = \mathbf I$.
Sep 27, 2011 at 13:56 comment added Igor Rivin @Manny: yes, that's correct.
Sep 27, 2011 at 13:55 comment added joel i'll check it out right away—if it's possible would you be kind enough to explain in plain language (basic linear algebra if it's possible) how does action of exterior power works? :) thanks in advance for your effort!
Sep 27, 2011 at 13:39 comment added Manny Reyes If the matrix is invertible, I think the adjugate would actually be the inverse times the determinant. Right?
Sep 27, 2011 at 13:18 history answered Igor Rivin CC BY-SA 3.0