Suppose a 3 x 5 matrix a has three pivot columns and a pivot postion in the fifth column. which of the following statements are always true. be prepared to justify your answer.
a) if a is the augmented matrix for a system then the system is consistent with a unique solution.
b) if a is the augmented matrix for a system then the system is consistent with many solutions.
c) if a is the augmented matrix for a system then the system is inconsistent.
d) if a is the coeffient matrix for a system then the system is consistent and has a unique solution.
e) if a is the coefficient matrix for a system then the system is consistent and has many solutions.
f) if a is the coefficent matrix for a system then the system is inconsistent.