• A pivot position in a matrix A is a location in A that corresponds to a leading 1 in the row reduced echelon form of A.
  • A pivot column is a column of A that contains a pivot position.

No notes needed, It won’t help. Rewatch the vid

Gaussian Elimination

  • Swap the first row with a lower one so the leftmost nonzero entry is in the first row.
  • Scale the 1st row so that its leading entry is equal to 1.
  • Use row replacement so all entries above and below this leading entry (if any) are equal to zero.