If AAA is a 3×33 \times 33×3 matrix and A2=0A^2 = 0A2=0, what can be said about rank(A)\text{rank}(A)rank(A)?
rank(A)=0\text{rank}(A) = 0rank(A)=0
rank(A)=1\text{rank}(A) = 1rank(A)=1
rank(A)≤1\text{rank}(A) \leq 1rank(A)≤1
rank(A)≤2\text{rank}(A) \leq 2rank(A)≤2