Unique Solution in ℝ³
Step 0/0
| R1 | 1 | 0 | 1 | 2 | x+z=2 | |
| R2 | 0 | 1 | 1 | 3 | y+z=3 | |
| R3 | 1 | 1 | 1 | 4 | x+y+z=4 |
Row 1: 1x + 0y + 1z = 2. Row 2: 0x + 1y + 1z = 3. Row 3: 1x + 1y + 1z = 4.
Inconsistent System in ℝ³
Step 0/0
| R1 | 1 | 0 | 1 | 2 | x+z=2 | |
| R2 | 0 | 1 | 1 | 3 | y+z=3 | |
| R3 | 1 | 1 | 2 | 6 | x+y+2z=6 |
Row 1: 1x + 0y + 1z = 2. Row 2: 0x + 1y + 1z = 3. Row 3: 1x + 1y + 2z = 6.
Multiple Solutions in ℝ³
Step 0/0
| R1 | 1 | 0 | 1 | 2 | x+z=2 | |
| R2 | 0 | 1 | 1 | 3 | y+z=3 | |
| R3 | 1 | 1 | 2 | 5 | x+y+2z=5 |
Row 1: 1x + 0y + 1z = 2. Row 2: 0x + 1y + 1z = 3. Row 3: 1x + 1y + 2z = 5.