If a square matrix AAA of size 3×33 \times 33×3 satisfies rank(A)<3rank(A) < 3rank(A)<3, which statement is true?
The determinant det(A)\det(A)det(A) must be 0.
The matrix is invertible.
The system Ax=0Ax = 0Ax=0 has only the trivial solution.
The rows are linearly independent.