Hello, jfsfroggy!
Am i on the right track here...
0(−1)∣∣∣∣∣∣∣192529478∣∣∣∣∣∣∣+4(+1)∣∣∣∣∣∣∣011529478∣∣∣∣∣∣∣+5(−1)∣∣∣∣∣∣∣011192478∣∣∣∣∣∣∣+9(+1)∣∣∣∣∣∣∣011192529∣∣∣∣∣∣∣
Yes, you are . . . Good work!
I see you "used" the second row.
Did you know that you can "use" any
column, too?
The first column is the best (as tknunny pointed out) . . . look at the 0's!
We have:
0(+1)∣∣∣∣∣∣∣−−any−−∣∣∣∣∣∣∣+0(−1)∣∣∣∣∣∣∣−−any−−∣∣∣∣∣∣∣+1(+1)∣∣∣∣∣∣∣142559498∣∣∣∣∣∣∣+1(−1)∣∣∣∣∣∣∣149552497∣∣∣∣∣∣∣
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
You probably haven't learned about Row Operations yet, but I'll give you a taste.
We can subtract any row from any other row, term by term,
and still get the same value.
In your example, if we subtract row 4 from row 3 (and replace row 3),
we get:
∣∣∣∣∣∣∣∣∣0001147255−7949−18∣∣∣∣∣∣∣∣∣
Using the first column, we have:
1(−1)∣∣∣∣∣∣∣14755−749−1∣∣∣∣∣∣∣ . . . that's all!