Row Reduction & Echelon Form
Row reduction transforms a matrix into echelon form using elementary row operations, making the system easy to solve.
Elementary Row Operations
Row Echelon Form (REF)
Row Reduction
Medium
Reduce to REF: [1 2 3; 2 5 7; 3 7 10]
1
R2 - 2R1
[1 2 3; 0 1 1; 3 7 10]
2
R3 - 3R1
[1 2 3; 0 1 1; 0 1 1]
3
R3 - R2
[1 2 3; 0 1 1; 0 0 0]
Answer:
[1 2 3; 0 1 1; 0 0 0]