Which of the following statements are are are true of a 5x5 matrix A:

I. If rank(A)-1, then the columns of A are a basis of R⁵.
II. If det(A) = 2024, then the columns of A are a basis of R⁵.
III. If the columns of A are linearly independent then the rank of A is 5.
IV. If Aᵀis not invertible, then rows of A are a basis of R⁵.

O II and III
O I and II
O I and IV
O III and IV
O I, II, and III
O II, III, and IV
O I. II and IV
O none of these answers
O all of these answers
O I
O II
O III
O IV