Gaussian Elimination with Back Substitution

Learn how to solve systems of equations using Gaussian Elimination with back substitution in this free math video tutorial by Mario's Math Tutoring. We go through 2 examples using augmented matrices.

0:18 Example 1
0:19 Writing Augmented Matrix
0:47 Rules for Gaussian Elimination
4:35 Back Substitution
5:25 Writing Solution as a Triple
6:23 Example 2
6:32 Writing Augmented Matrix
11:19 Back Substitution
12:04 Writing Answer as a Triple

Related Videos:

Gauss Jordan Elimination with Row Reduced Echelon Form

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[shakirasunshinez]

I learned more from 5 minutes of this video then the hours my professor spends tryna teach us every week

[hwylsoliloquy]

THANK YOU SO MUCH! YOU MADE IT EASIER TO UNDERSTAND, VERY CLEAR AND CONCISE I LEARNED A LOT IN 5 MINS COMPARED TO A WEEK OF LECTURE!!!!

[danrielly]

Found this right before my finals today, not all heroes wear capes... thank you!!!!

[botlhalebakwa]

God bless you man. Literally every time I watch one of your videos I find clarity to the point of mastery. thanks so much

[phillipkyndbl]

Thank you sir, it was very helpful! Keep making videos, you're brilliant to explain it simple and make it understandable

[reengaesh]

Thank you sir it was really helpful I struggled a lot in this spending hours with nothing in the head thank God your video came by .Now am happy atleast 😊.you deserve more subscribers👌🏽

[Idunge]

That's the best explanation you can get for that!!!
Thanks sir, this really helped a lot.

[michaelasiman]

this really help me to understand on how to use back substitution especially that i have only 2 days to pass my module. love this

[agustinfigueroa]

By far this video is the most helpful out of all the you tube videos. Thank you so much!!

[pervybee]

Sir u just save me from my final exam:)) really appreciate your time Sir :)

[adaumus]

This is the video that finally helped me thanks! I couldn't figure out how to get the 2nd 0 in the bottom column, but you solved it for me!

[AnthonyGudu]

Thank you so much Sir actually I normally make any row zero which makes all my work messy until I watch your video thank you once again 🎉

[ahmednuralkali]

Thanks a lot you have earned my respect I have upcoming test next week and this saved me

[putinscat]

Very nice. I have seen super professors over-complicate this.

[gianchaves]

Simple explanation with fun application. Thanks!

[jacobisaac]

Thank you for your explanation! God bless you 💯💯

[zarinalee]

The best explanation, thank you very much!

[aishbb]

Literally the best video is seen thank you so much

[robothegreatful]

Thanks Mario! This was a great refresher before taking my Numerical Methods final tomorrow which has a small section on it!

[oitanny]

THANKS A :^D sending lots and lots of good wishes your way. You made it look so much easy-peasy!! Imma go and practice now! Thanks sensei🙏🏻