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The dimension of the vector space v={a =[a,laxa a e c, a-ai over field r is (a) n b) n-1 d) (c)n-n 2
The dimension of the vector space V={A =[a,laxa a E C, a-ai over field R is (a) n b) n-1 d) (C)n-n 2
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Anonymous User
solution is n(n-1
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please explain..
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because elements of A is complex n digonal elements zero total n² elements in matrix so nonzero elements n²-n wich are complex but by skew symmetric property (n²-n)/2 are different complex .eeach complex contains two part real and imagemary so dim n²-n
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if A is skew symmetric matrix of oder 2 than it can be express as sum of two matrix so number of elements in its bases 2
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similarly for n number of elements in base n²-n
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Anonymous User![best-answer]()
given set is set of skew symmetric matrix whose entry is complex . dim of skew symmetric matric is n(n-1)/2 but each entire is complex and dim.of complex is 2 so dim of V is ([n(n-1)/2]*2= n(n-1)