I want to convert this matrix in a row echelon form but got stuck. Can someone tell me the steps of the row echelon form for this matrix?

Question

A =

2 6 3 1

2 1 0 −2

3 −2 1 1

0 6 2 0

Answer 1

There are a LOT of ways to do this problem but here is one:

1) Divide R3 by 3 and swap R1 & R3

2) Multiply R3 by -1 and add to R2, replacing R2 with the results

3) Swap R2 and R3

4) Multiply R1 by -2 and add to R2, replacing R2 with the results

5) Multiply R2 by 3/22

6) Multiply R2 by 5 and add to R3, replacing R3 with the results

7) Divide R3 by -31/22

8) Multiply R2 by -6 and add to R4, replacing R4 with the results

9) Multiply R4 by 11

10) Multiply R3 by -1 and add to R4, replacing R4 with the results

11) Divide R4 by -154/31

The final row echelon form is:

Answer 2

1 0 0 0

0 1 0 0

0 0 1 0

0 0 0 1