Hi i need some help solving the following problem:

Attachment 19424

What i know:

The following does not hold for p=2 since an inverse does not hold.

but find it diffecult to show that this holds for primes p> 3.

Thanks

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- Oct 23rd 2010, 02:34 AM1234567skew-symmetric metrix
Hi i need some help solving the following problem:

Attachment 19424

What i know:

The following does not hold for p=2 since an inverse does not hold.

but find it diffecult to show that this holds for primes p> 3.

Thanks - Oct 23rd 2010, 04:51 AMtonio
- Oct 24th 2010, 03:57 AM1234567
how would one use $\displaystyle dim S_n+dim A_n=dim M_n\,,\,\,M_n=$ all the square nxn matrices over the field,

I thought you hav to show

1. $\displaystyle S_n+A_n= M_n\,,$

2. $\displaystyle S_n n A_n= {0}\,,$ - Oct 24th 2010, 04:18 AMtonio