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Show that diagonal entries of a skew symmetric matrix are zero. 
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#1
Feb211, 08:09 AM

P: 59

I'm pretty inexperienced in proof writing. So not sure if this was valid.
If a matrix is skew symmetric then A^T =  A, that is the transpose of A is equal to negative A. This implies that if A = a(i,j), then a(j,i) = a(i,j). If we're referring to diagonal entries, we can say a(j,j) = a(j,j). The only way for this to be true is if a(j,j) = 0. So therefore all the diagonal entries of a skew symmetric matrix are 0. Is this good enough? Thanks. 


#2
Feb211, 09:42 AM

HW Helper
P: 6,202

I think it would work as a valid proof.



#3
Nov2012, 06:53 PM

P: 3




#4
Nov2012, 07:29 PM

Math
Emeritus
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Thanks
PF Gold
P: 39,682

Show that diagonal entries of a skew symmetric matrix are zero.



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