7. Given the following augmented matrix of a system, which of the following statement is true? x y z 1 0 1 -1 1 0 0 1 1 0 0 0 -1|-1 1 1 1 3 (A) The system has no solution. (B) The system has a unique...

Please select the correct answer and explain in detail your reasoning.

Extracted text: 7. Given the following augmented matrix of a system, which of the following statement is true? x y z 1 0 1 -1 1 0 0 1 1 0 0 0 -1|-1 1 1 1 3 (A) The system has no solution. (B) The system has a unique solution. (C) The system has infinitely many solutions with one arbitrary parameter y. (D) The system has infinitely many solutions with one arbitrary parameter z. (E) The system has infinitely many solutions with two arbitrary parameters y and z. (F) None of the above