Elementary Row Operations Matrices 3x3 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.

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[patrickmayer]

Best Strategy for RREF:
Start by making bottom left 0.
Make every number zero except for the diagonal.
Multiply the equations so that the diagonals are 1s.

It's tedious either way, but you gave a very clear explanation. Thank you!

[adityamangal]

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

[williamlun]

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

[nataliatrounce]

I have been struggling with matrix operations for a while and this is the best video I've found! Cleared the concept up in 10 minutes. Thank you very much, sir!

[christinenillosguin]

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

[gavinm]

This is the best video I've watched on RREF. Absolutely saved me.

[katlegolebelwane]

I was able to find the inverse of a matrix using row operations for the first time after viewing this class. The tip about working from the bottom left corner, then focusing on the top right corner really helped.

[solomonngwenya]

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

[pppppp]

mario your videos saved me last semester in stats, now with your help i will pass linear algebra 🙏

[lar]

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

[mr.savagebanana]

after a long semester i now can do this confidently thanks

[_DutchRaptorX_]

Having a test tommorow and had a lot of problems with this certain part, thank you for this information

[ihavenobrain]

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

[jesusjunkie]

This was such a great help in coaching my daughter through her Algebra lesson this morning. Thank you!!

[melissajohn]

I have a test on this next week! thx dude

[alphoneskoipea]

Thank for helping those who really need to solve such problems

[panky_pooh]

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

[fabihaareeba]

i have my semester finals tomorrow, this helped me soo much!!

[ethanstorey]

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

[CAROLUK]

Hi, I have a question about the third step at 3:38. Some textbooks said we can add a scalar multiple of one row to another row, and replace the latter row with that sum (Ex: 3 x row1 + row 2 = row2). In this tutorial, you multiplied second row with -2 and add to the 3rd row, but the new answer becomes 2nd row. I am a little bit confused…..