Let S=(0−330)S = \begin{pmatrix} 0 & -3 \\ 3 & 0 \end{pmatrix}S=(03−30). Which property characterizes this matrix?
SSS is symmetric
ST=−SS^T = -SST=−S (skew-symmetric)
S2=IS^2 = IS2=I
det(S)=0\det(S) = 0det(S)=0