## anonymous one year ago can anyone help me with this matrix problem? picture in comment section or perhaps help me with the steps for the calculator

1. anonymous

2. anonymous

i dont understand this AT ALL.

3. anonymous

First put all the answers to the systems into a matrix and then multiply by the inverse of the matrix given to you and multiply it by the answers and it should give what so it would be the answers times the inverse be careful not to do it the other way around because you will get the wrong answer :)

4. anonymous

not at all. its complicated to me.

5. anonymous

@Loser66

6. anonymous

its fine, ill google it, but i literally had to learn this in an hour. im overwhelmed. thanks though. @Loser66 @artgirl

7. anonymous

8. UsukiDoll

blah... why can I just take those systems of equations, put it augmented matrix, and use row operations to get the RREF ?!

9. jim_thompson5910

first set up the matrix equation |dw:1439176350982:dw|

10. jim_thompson5910

multiply both sides of the matrix equation by the inverse matrix |dw:1439176488240:dw|

11. jim_thompson5910

notice how the inverse is on the left side of each multiplication |dw:1439176659454:dw|

12. jim_thompson5910

by definition, a matrix multiplied with its inverse will result in the identity matrix I |dw:1439176690759:dw|

13. jim_thompson5910

the identity matrix is basically a fancy form of "1" the identity matrix times any matrix is that same matrix I*X = X so the identity matrix goes away |dw:1439176806100:dw|

14. jim_thompson5910

do you see how to finish up?

15. anonymous

@jim_thompson5910 so just multiply ^

16. jim_thompson5910

yes multiply the inverse with the 3x1 matrix

17. jim_thompson5910

let me know what you get

18. anonymous

ok will do. give me a sec.

19. anonymous

{(2,-2,3)} @jim_thompson5910

20. jim_thompson5910

correct

21. anonymous

i actually understood how you did it's simple now. i appreciate your help!

22. jim_thompson5910

you're welcome