Linear combination in ℝ²
Use Forward to watch the vector columns row-reduce to the standard basis. The prepared RREF path reveals x = 2 and y = 1.
Step 0/4
| R1 | 2 | -1 | 3 | x21v₁+y-12v₂=34b | |
| R2 | 1 | 2 | 4 |
Blue scalar boxes correspond to secured pivot columns.
Displaying 2 vectors in R2 and their target.
Linear combination in ℝ³
This example row-reduces three skew vectors to the standard basis. The prepared RREF path reveals x = 2, y = 1, and z = 1.
Step 0/6
| R1 | 1 | 1 | 0 | 3 | x110v₁+y101v₂+z011v₃=332b | |
| R2 | 1 | 0 | 1 | 3 | ||
| R3 | 0 | 1 | 1 | 2 |
Blue scalar boxes correspond to secured pivot columns.
Displaying 3 vectors in R3 and their target.