Assume is idempotent matrix of order n,in other words: ,and .show that: (Headbang)

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- May 22nd 2009, 10:12 PMXingyuanProblem of Idempotent matrix
Assume is idempotent matrix of order n,in other words: ,and .show that: (Headbang)

- May 22nd 2009, 10:16 PMNonCommAlg
- May 22nd 2009, 10:51 PMXingyuan
I am not sure. I am reading a book of Linear Algebra. this problem is in that book. if n is odd ,and ,I have proved . when n is even ,i have no idea.

If ,I am not sure whether the conclusion was right?

thanks very much. - May 22nd 2009, 10:55 PMNonCommAlg
- May 22nd 2009, 11:08 PMXingyuan
OK, Assume ,and ,show that :

thanks very much ! - May 23rd 2009, 12:30 AMNonCommAlg
- May 23rd 2009, 01:45 AMXingyuan
Oh,yes .(Itwasntme)If n is odd .the conclusion is correct.thanks very much.

If ,and . can we get ? - May 23rd 2009, 02:24 AMNonCommAlg
- May 24th 2009, 05:32 AMXingyuan
Thanks Very Much!!