Can someone please help me with is as i really hate doing matrix proof (Angry)

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- Jan 24th 2009, 12:55 PMnerdomatrix proof 2
Can someone please help me with is as i really hate doing matrix proof (Angry)

Attachment 9796 - Jan 24th 2009, 01:00 PMGaloisTheory1
- Jan 24th 2009, 01:02 PMnerdo
- Jan 24th 2009, 01:34 PMSimonM
For the second part, take the determinant of both sides

$\displaystyle \det(ABA^{-1}B^{-1}) = \det(A)\det(B)\det(A^{-1})\det(B^{-1}) = \det(AA^{-1})\det(BB^{-1}) = 1$

$\displaystyle \det(2I_2) = 2$

Therefore no such matrices exist - Jan 24th 2009, 02:46 PMGaloisTheory1