I want to take this matrix in row echelon form but got stuck.Can someone tell me the row operations step by step for this matrix?

Question

A =

2 6 3 1

2 1 0 −2

3 −2 1 1

0 6 2 0

Answer 1

step 1

2 6 3 1

0 -5 -3 -3

0 -11 -4 -1/2

0 6 2 0

step 2

2 6 3 1

0 -5 -3 -3

0 0 13/5 61/10

0 0 -8/5 -18/5

step 3

2 6 3 1

0 -5 -3 -3

0 0 13/5 61/10

0 0 0 2/13

step 4,,,updated to make leading coefficient 1

1 3 3/2 1/2

0 1 3/5 3/5

0 0 1 61/26

0 0 0 1

does this match your computation?