Question

How do you write the matrix `[(1, 2, -1, 3), (3, 7, -5, 14), (-2, -1, -3, 8)]` using the row echelon form?

Answer 1

`[(1, 2, -1, 3), (3, 7, -5, 14), (-2, -1, -3, 8)]`

`R2 to R2 - 3 R1 " & " R3 to R3 +2 R1`

`[(1, 2, -1, 3), (0, 1, -2, 5), (0, 3, -5, 14)]`

`R3 to R3 - 3 R2`

`[(1, 2, -1, 3), (0, 1, -2, 5), (0, 0, 1, -1)]`

You now have the 3 pivots