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chrisplusian
 one year ago
If "A" is an nxn matrix show that "A" can be written as the sum of a symmetric matrix and a skew symmetric matrix.
chrisplusian
 one year ago
If "A" is an nxn matrix show that "A" can be written as the sum of a symmetric matrix and a skew symmetric matrix.

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1True. Do you need to prove it?

chrisplusian
 one year ago
Best ResponseYou've already chosen the best response.0I have a definition in my textbook, and it goes like this.....

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1https://in.answers.yahoo.com/question/index?qid=20100824085905AAThbDi

chrisplusian
 one year ago
Best ResponseYou've already chosen the best response.0\[A = V+S, where V= \frac{ 1 }{ 2 }(A + A^T), and S = \frac{ 1 }{ 2 }(A  A^T)\]

chrisplusian
 one year ago
Best ResponseYou've already chosen the best response.0I know I can use this but I am wondering if there is another way generically that I can show this is true. I am not supposed to use actual numbers in any proofs, so I can't just do these operations to a matrix and show it works out

chrisplusian
 one year ago
Best ResponseYou've already chosen the best response.0I will take a look at the link, thank you
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