Question

The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system. 1 -1 0 0 -5 0 3 0 -4 0 -2 2 O 0 0 0 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The solution set contains one solution: (0,001). (Type integers or simplified fractions.) B. The solution has infinitely many elements. C. The solution set is empty.

Answer 1

- 5 - 3 -4 - 2 2. 4 R1 + R2 1 -3 - 9 - 4 2 2 4 R,+ 3 R3 R2+3R3 - 6 - 3 2 - 2 2 4 R, + 6 R4) R2 + 6 R4, R3+ 2. Ry o - 3+2 4 2+24 0 2 + 8 O 4

Hence, now reduced form of is augmented matrix 21 26 4 since, rank of co-efficient matrix =rank of augmented matrix 4 therefore, solution there enists unique and the solutions are, (21, 26, 10, 4) There is no possibility for in infinite solutions solution, and no