Denote the set of 2x2 antisymmetric matrices as S. By making a correspondence between elements of [M 2,2] and four-tuples (a,b,c,d), write the subset of IR^4 corresponding to S as a span. What is the dimension of this subspace?
This question has me stumped! No idea.
Any help is much appreciated,
I don't get it: you said you know the properties of antisymmetric matrices and thus you must know that, with A as in the prior post , it must be that the set of all antisymmetric 2 x 2 matrices can be identified with the set of all vectors , and it's easy to see this set is actually a subspace of