## jump 2 years ago I need help solving this system of a linear equation based on the attached augmented MATRIX

1. jump

|dw:1355196230716:dw|

2. PhoenixFire

You need to reduce it to something like this: |dw:1355198633863:dw|

3. jump

yeh, i watched some video chalkboard examples, but they didn't have the bigger numbers in matrix! its got me vexed...lol

4. PhoenixFire

It's a thing called "Reduced Row Echelon Form". So firstly start by making --m(row)(column)-- m00 = 1 then m10 = 0 then m20=0 So the first colum will be 1, 0, 0

5. PhoenixFire

If you swap Row 2 with row 1 it'll put that 1 in the right place allowing you to make the rest of the column 0 easier.

6. jump

how do i get 100 with that starting matrix though 3,1,-2? canu show me the next couple steps on this problem?

7. PhoenixFire

I with this was easier to type on a computer =( |dw:1355199296801:dw|

8. jump

so i can just change the position of rowa 1 and 2?

9. PhoenixFire

Yes, but you have to change the ENTIRE row.. Hence why they're called "Row Operations" 1) Interchange two rows. 2) Multiple a row by any non-zero number 3) Add a multiple of a row to another row.

10. jump

yes, i find the draw pad fastest...lol

11. jump

i think i am mentally wounded on this. just been way too long since i had to do one!! hate to ask, but my answer choices are like (1,1,0). how do i get it rest of the way to that. i don't trust myself on this one if i did get to the end!@

12. jump

if its easier to work out on ur notepad,thats ok just pass me the 3 valuessoi can get out of this section. I'm definitely going to needto go back thru the tutorialfromthe start on these matrix'?

13. PhoenixFire

Only notebook I could find nearby, sorry it's hard to read but my values are: 1, -1, 0

14. PhoenixFire

\[3x_1+x_2-2x_3=2\]\[3(1)+(-1)-2(0)=3-1=2\]

15. PhoenixFire

\[x_1-2x_2+x_3=3\]\[(1)-2(-1)+0=1+2=3\] \[2x_1-x_2-3x_3=3\]\[2(1)-(-1)-3(0)=2+1=3\] The values work in all equations therefore 1, -1, 0 is correct

16. jump

Thanksfor the extra effort to show me ur work , i'mgoing to have to study that before my next test!

17. PhoenixFire

No problem, when I learnt it I had lots of trouble getting it right. Just keep practicing!