Suppose each matrix below represents the augmented matrix for a system of linear

Question

Suppose each matrix below represents the augmented matrix for a system of linear equations. For matrices (a) and (b), determine if the system is consistent. If the system is consistent, determine if the solution is unique. (Note that leading entries marked with an X may have any nonzero value and starred entries () may have any value including zero.) 000 0000 a. Select the correct answer below. O A. The system is consistent, with a unique solution B. The system is consistent, with infinitely many solutions. O C. The system is inconsistent. O D. The consistency of the system and the number of solutions cannot be determined with the given information.

Explanation / Answer

a.

The system is consistent with a unique solution.

b.

The system is inconsistent.

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