If I have the following matrix (3x3):
1 0 1 5
0 1 0 -7/5
0 0 5 7
Is it legal to just take 1/5 of row 3 and say my new matrix is then:
1 0 1 5
0 1 0 -7/5
0 0 1 7/5
? I'm assuming not bc ive checked my work a hundred times and this could be the only possible mistake (Note I am trying to get it in RREF)
EDIT:
Meh, actually I think you CAN... so who wants to help me find out where I went wrong:
ORIG MATRIX:
1 -1 0 5
-1 1 5 2
0 1 1 0
Then switch R_2 and R_3
1 -1 0 5
0 1 1 0
-1 1 5 2
Then R_3 + R_1
1 -1 0 5
0 1 1 0
0 0 5 7
Then R_1 + R_2
1 0 1 5
0 1 1 0
0 0 5 7
Then R_2 - 1/5R_3
1 0 1 5
0 1 0 -7/5
0 0 5 7
Then 1/5R_3
1 0 1 5
0 1 0 -7/5
0 0 1 7/5
Then R_1 - R_3
1 0 0 18/5
0 1 0 -7/5
0 0 1 7/5
No idea