Homework SourseIf 1 0 0 0 1 0 3 4 1 2 5 0 is your final matrix then the sy
If [1 0 0 0 1 0 3 4 1 | 2 5 0] is your final matrix, then the system is ________? A. Inconsistent B. Dependent C. Consistent D. Impossible to tell E. None
![If [1 0 0 0 1 0 3 4 1 | 2 5 0] is your final matrix, then the system is ________? A. Inconsistent B. Dependent C. Consistent D. Impossible to tell E. NoneSolut](/WebImages/33/if-1-0-0-0-1-0-3-4-1-2-5-0-is-your-final-matrix-then-the-sy-1096350-1761578207-0.webp "If [1 0 0 0 1 0 3 4 1 | 2 5 0] is your final matrix, then the system is ________? A. Inconsistent B. Dependent C. Consistent D. Impossible to tell E. NoneSolut")
Solution
Your matrix
Find the pivot in the 1st column in the 1st row
Find the pivot in the 2nd column in the 2nd row
Find the pivot in the 3rd column in the 3rd row
Eliminate the 3rd column
Solution set:
x1 = 2
x2 = 5
x3 = 0
(C) Consistent
| X1 | X2 | X3 | b | |
|---|---|---|---|---|
| 1 | 1 | 0 | 3 | 2 |
| 2 | 0 | 1 | 4 | 5 |
| 3 | 0 | 0 | 1 | 0 |
