G6iselloemoss G6iselloemoss
  • 25-11-2016
  • Mathematics
contestada

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

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Аноним Аноним
  • 26-11-2016
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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