What is the dimension of the space of n×nn \times nn×n matrices AAA such that AT=−AA^T = -AAT=−A and Tr(A)=0\text{Tr}(A) = 0Tr(A)=0?
n(n−1)/2n(n-1)/2n(n−1)/2
n(n+1)/2n(n+1)/2n(n+1)/2
n2−1n^2 - 1n2−1
n(n−1)/2−1n(n-1)/2 - 1n(n−1)/2−1