To find out if vector b can be written as a linear combination of vectors v1, v2, v3 if the augmented matrix [ v1 v2 v3 b] has solution(s) then b can be written as a linear combination of the other vectors if the augmented matrix [ v1 v2 v3 bl has no solutions then b can be written as a linear combination of the other vectors if the augmented matrix [ v1 v2 v3 0] has solution(s) then b can be written as a linear combination of the vectors if the augmented matrix [ v1 v2 v3 0] has no solution(s) then b can be written as a linear combination of the other vectors