Posts

Solving a reduced row-echelon of a 2x4 matrix 🤔

Row-echelon form

  1. Pivots are 1
  2. Zero rows at the bottom
  3. Staircase pattern

Reduced row-echelon form

  1. All 3 above
  2. Pivots alone

3 9 15 96
-4 -12 -18 -118

R1 / 3 -> R1:
1 3 5 32
-4 -12 -18 -118

R2 + 4R1 -> R2:
1 3 5 32
0 0 2 10

R2 / 2 -> R2:
1 3 5 32
0 0 1 5

R1 - 5R2 -> R1:
1 3 0 7
0 0 1 5