Let a 1 , a 2 , a 3 be linearly independent vectors in R 3 ,

Question:

Let a₁, a₂, a₃ be linearly independent vectors in R³, and let A = [a₁a₂a₃]. Which of the following statements are true?
(a) The reduced row echelon form of A is I₃.
(b) The rank of A is 3.
(c) The system [A | b] has a unique solution for any vector b in R³.
(d) (a), (b), and (c) are all true.
(e) (a) and (b) are both true, but not (c).