## Elementary Row Operations Matrices 3×3 Linear System

Learn how to do elementary row operations to solve a system of 3 linear equations. We discuss how to put the augmented matrix in the correct form to identify the solutions and the correct order to do the steps in.

Gaussian Elimination with Back Substitution

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### 48 Responses to “Elementary Row Operations Matrices 3×3 Linear System”

1. vinodkumar gollu says:

2. Miss Grey says:

ty so muchπ€π€π€ sir

3. davaughne brown says:

4. An2nio Transit Productions says:

You can do this with any 3 equations right?

5. Dit P says:

No one here has to be sooo happy , he has done a mistake . x=-1 not 1

I was struck at this for hours now, this got cleared in a few minutes, thanks a lot sir !

7. datchica says:

You, my good sir, are THE GOAT

8. Alessandro Pierre says:

Thank you professor, touchdown

9. Melissa John says:

I have a test on this next week! thx dude

10. Andrea A Polanco says:

I still dont get it wwhyyyyyy

11. josphat mbugua says:

Can you sometime do more challenging quastions

12. Tinashe Kawonde says:

This is really good work thank you so much

13. Snope says:

saved me. My professor is terrible.

14. Bizhan M says:

Love ur lectures!!! Thannnkss!!!

15. it's my time says:

I'm ur student, from India , respect u sir, thank you for the video,

16. ABHI Ram says:

Thanks for this perfect video

17. Study With Me says:

Thank you so much for teaching this ! Before I found this video I was struggling doing ero . But now I can do it smoothly . π­

18. beta dias says:

Why couldn't you just do R1-R3, instead of R1 + -R3

19. Ethan Storey says:

You could teach differential equations to a 5 year old. Awesome video sir. Thanks!

20. Daniyal Saif says:

Excellent Explanation , just wanted to know that if i'm getting 1's diagonally but my values are different of x , y and z , will it still be correct

21. Nurul Huda says:

Tq, it's so easy to understand π

22. Deborah N says:

Thank you so much!! I was so confused for days but now I finally figured out how to solve it π

23. nasser2200 says:

THANK YOU SO MUCH

24. niina bacha says:

in the first step, why did you call the 6 a negative 6?

25. Solomon Ngwenya says:

whowwww coooooooooool!!!! when I was introduced to this topic and hour ago, I was confused, but thanks for making it clear now

26. Yaseen Abdalla says:

Bless your soul you're a hero

27. Christine Nillosguin says:

THIS IS THE BEST EXAMPLE SO FAR I GOT FROM YOUTUBE! THANKYOU SIR.

28. chaya labelson says:

π­πππππyou made this so easy to understand thank you

29. Lang Xia says:

nice

30. 209 306 jerald says:

Thank you so much

31. thejust219 says:

Thank you!!

32. David Bell says:

He is showing you that he understands it .He is not teaching you.
There is a difference.

33. David Bell says:

Why are math people so bad at teaching ?

34. jmarie8711 says:

Way too fast!!!

35. Abdul Rafay says:

Thank you Sir. May Allah reward you.

36. Bingo717 says:

nice

37. Ngan Vo says:

Thank you so much for this video, it really helped me understand the concept for tomorrow's test! My teacher made it really confusing, and you cleared it up really well!!!

38. Lucky Raj says:

Sir y u start on last ro ?

And

Y u not star on any row ?

39. Paul Dang says:

Thank you!

40. Timothy Tan says:

Just a quick question: If you were to perform row operations on Row 1 and Row 2, could you choose whether to put the answer in row 1 or row 2 or is there a specified row the answer should go on?

41. William Lun says:

watched so many vids on this type of question, including khan academy. THIS IS THE BEST ONE. THANK YOU SOOOOOOO MUCH

42. William Ah Young says:

Quick questn: is the order of the first augmented matrix a 3×3? Or 3×4?

43. Xaio-Xen says:

Does this work for things like a 2×3?

44. God's Love Worship Centre says:

Thank you Mario

Thankyou so much

46. Eid M says:

Thank you β€οΈ

47. Siphesihle Y says:

Thank you!

48. Panky Poo says:

Instead of doing 3R1+R2=R1, couldnt you have just multiplied R1 by -1/2, R2 by 1/6, and R3 by 1/2?