Gauss-Jordan Elimination

[@waffleisnice]

i just want to thank you for such a detailed steps and explanation. I've been doing this gauss jordan for a whole week and after watching your video for the 5th time, I finally get it. you're such a great teacher. So thank you once again

[@krwada]

You explained Gauss Jordan elimination, or tri-diagonalization of a matrix very nicely. GJ elimination is how most computer programs reduce a set of linear equations. Once you do things this way, you will never go back to doing substitution again ... well, except for 2x2 matrices. Then, the Cramer rule is probably faster.

[@solutionists344]

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P.Newton you are a great Maths teacher, I really enjoy your Math videos.

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After watching every single video on matrix, P. Newton you're the best

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[@2262sandeep]

Sir, you studied topics the way I wanted to understand. Many Thanks. Visualization and simpler examples are the key to understanding the concepts.

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Great Work!!!! Your way is teaching is awesome. Thank you and keep doing the great work

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[@AYAANMULLA-u5r]

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[@alviislammunna9587]

You are a life saver. Great explanation. Thank you.

[@akak6320]

Such a crisp and clear explanation , wonderful sir

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I loved this for so many reasons!❤

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[@jan-willemreens9010]

... Good day to you Newton, I can see you're doing well. Good presentation in which it is nice to see that 3 given planes in R3 intersect in one unique point (-1, 2, 1) ... ( A CONSISTENT and INDEPENDENT system of linear equations ) ... Thank you again my friend Newton and take good care, Jan-W

[@PrimeNewtons]

Good to hear from you. Your comment just pushed me to review some multivariable calculus about intersection of planes and my discovery is also interesting. Hope you're doing well , my friend. Regards.

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Thank You sir. I love your teachings

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I just can say, top teaching.

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[@YusufAkande-w9t]

Good Teaching. Keep it up sir.

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Great content

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Amazing!!!!!😮‍💨

[@Kuldeep_chauhan_1212]

Thanks for making videos ❤

[@RichardOdama-m2o]

Excellent, may God give you more wisdom.

[@holyshit922]

I was solving system of linear equations in following way 1. Check if system of equations has solution (we call it Kronecker - Capelli theorem) Rank of coefficients matrix must be equal to the rank of augmented matrix 2. Reduce system of equations to the Cramer form (From coefficient matrix choose submatrix rxr with r linearly independent rows, where r is the rank of A free variables move to the column vector) 3. Solve system of equations in the Cramer form your favourite way such as Cramer's rule (with determinants) xor left multiplying by matrix inverse

[@BzuayehuNegash]

You are very good. Thanks

[@raeesadhorat2170]

TAHNK YOU SO MUCH THIS VIDEO WAA SO WELL EXPLAINED Ans I understood every

[@mariamissa-m3m]

Thank you very much😊

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You're the best of the best

[@MAHTABAHMADI-h5h]

Thank you❤

[@mariallejandra]

amazing !!! thank you so much ❤️

[@RuusaAmutenya]

This was very helpful thanks alot Newton

[@MutatiinaMichael]

Appreciated highly are you, Prime Newton! Thank you very much. I can also teach my friend. We meet

[@Absjunior-g1d]

Where are you from?

[@MansiSharma-kj4lv]

THANK YOU SO MUCH!!!!!! I will pass😭

[@AlirezaNabavian-eu6fz]

Excellent

[@harshplayz31882]

You are from which country?

[@NigoraIsmoilova-f1b]

I wish U were my math teacher😢✨

[@theperplexchild2078]

thank you so much

[@MarkYobb]

Super!

[@ciiil8802]

Please do Determinants and Inverse martirces

[@kennethlombardi3003]

You do good, but try not to combine too many steps at the same time as you did near the end. Good to have such a nice explanation of the differences between the different types of elimination. Better to have more simpler steps and fewer complex steps. Good to stick to a blackboard or whiteboard than a computer monitor. I ENJOY YOUR TEACHING AND PRESENTATION.

[@iloveroblox.11]

12:36 the way my jaw drop when I finally understand why we doing this

[@bctsnq]

super random. I watch all your videos at 1.5x speed and the tone is much much better. Regardless, I am learning a lot from your videos.

[@Absjunior-g1d]

You're doing well

[@HeckYeahRyan]

thanks

[@harshplayz31882]

Is this method really useful.if im good in algebra substitution

[@holyshit922]

Maybe it would be a good idea to leave us a problem for self solve at the end of each video

[@MWESIGWAENOCK-y2t]

That was perfect

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clean

[@SpolemaYardley]