Let AAA be a 3×33 \times 33×3 matrix such that A2=OA^2 = OA2=O. What is true about AAA?
tr(A)=0\text{tr}(A) = 0tr(A)=0
det(A)=0\det(A) = 0det(A)=0
rank(A)≤1\text{rank}(A) \leq 1rank(A)≤1
AAA is diagonalizable