Find a basis for the space v of all skew-symmetric 3x3 matrices. what is the dimension of v?

The solution to the problem is as follows:

dimension = 3 > only 3 data are necessary (and sufficient) 

D21-12 = ( (0,1,0), (-1,0,0) , (0,0,0) ) 

D31-13 = ( (0,0,1), (0,0,0), (-1,0,0) ) 

D32-23 = ( (0,0,0), (0,0,1), (0,-1,0) ) 

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