Elementary row operations question

TonyC

I am working with the following equation:
|1 -2 3|
|6 -11 15|
|4 -14 21|
a. add -4 time Row1 to Row 3
b. add -6 times Row 1 to Row 2
c. add 6 times Row 2 to Row 3
d. multiply row 3 by -1/9

I have come up with the following answer:
|24 -48 72|
|180 -354 522|
|-19.99 39.99 -58.99|

Where did I go wrong?

TonyC

Incidently, this is a multiple choice question and my answer isn't anywhere near any of the answers to choose from.

Fermat

After the 1st 2 operations, you should have ended up with,

TonyC

When you say first two operations, do you mean a and b or a?

What am I messing up?

After I ran a, I had:

-4 8 -12
6 -11 15
0 -6 9

VietDao29

Why are you multiplying the first row by -4???
It says add -4 times Row 1 to Row 3.
Viet Dao,

TonyC

What does that mean?
Do I add -4 to Row 3 or do I multiply -4 by Row 1 than add Row 1 to Row 3?

VietDao29

Add -4 times Row 1 To Row 3 means that you change Row 3 by adding -4 times Row 1 to it, and you don't change anything in Row 1, (ie: you just change Row 3).
Row 1 is: |1 -2 3|
-4 times Row 1 is : |-4 8 -12| (*)
You will add the (*) to row 3, which is:
|4 + (-4)xxxxxx-14 + 8xxxxxx21 + (-21)| = |0 -6 9|
You still keep Row 1. You only change Row 3. ie:
|1 -2 3|
|6 -11 15|
|0 -6 9|
Do the same for b, c, and d.
Viet Dao,

TonyC

OH, I SEE!

I have come up with:
1 -2 3
0 1 -3
0 0 1

THANK YOU!

TonyC

The light bulb has come on