If AAA is an n×nn \times nn×n invertible matrix, what is rank(A)\text{rank}(A)rank(A)?
rank(A)<n\text{rank}(A) < nrank(A)<n
rank(A)=n\text{rank}(A) = nrank(A)=n
rank(A)=n−1\text{rank}(A) = n - 1rank(A)=n−1
rank(A)\text{rank}(A)rank(A) could be any value between 1 and nnn.