Row Echelon Form, Pivot Positions, Basic and Free Variables

This video defines row echelon form, pivot positions, basic variables, and free variables of an augmented matrix.

[johnpaul]

One of the few videos on youtube that actually explains these concepts. Thank you

[dreamerdude]

I'm so over my textbook. YouTube videos have taught me more. Thanks!

[alannathompson]

Ive been struggling to understand this for a while now. Thank you so much for this easy explanation and illustration. The quote was also really encouraging.

[aaronbaraiya]

This is the only video which explains it. Thanks I was able to complete 2 more of my homework problems

[ryanjohnson]

Thank you! You made basic and free variables so much easy to understand the meaning of.

[jonathanx]

Man you are the best, so good and calm at explaining. bless you

[zubairmaths-englishtvtutor]

Excellently explained. Thank you so much. I was just looking for some some help in this respect, and you extended this help. ❤

[hopeless]

Seriously, really a awesome video.
And it has been the easier for your examples.
Thank you so much🙂🖤🖤🖤

[EDward-ufi]

Simple and easily understandable! Thank you.

[anoopa]

best explanation of this linear algebra concept. keep going...

[sepehremami]

i dont know what word to use to thank you!!!! there is no word!!!!



my mine was getting f***ed... before i seached for this video
thank you man...it was PERFECT

[nasareuploads]

If i knew you i would love to meet such type of Mathematics Teacher 🥺❤️

[YouMe-mfed]

thank you from California ahahha you saved a headache

[raghuramdevarayi]

Good Examples and Explanation. God Bless you. Good Job DONE.

[squidsword]

Appreciate it, man. Somehow you make this stuff sound so simple.

[icee]

Basically if we can't solve for a certain variable, then we assume there is an infinite number of solutions to that variable.
We can then substitute a generic dummy variable instead.

[rickywang]

You've done a great job with this

[shahriarmim]

8:42 actually the quote is from the book "Bet On Yourself: Life lessons to cultivate and create your own success" by Nicole Williams
main quite is : "Sometimes it takes a good fall to really know the foundation on which you stand"

[--]

Thank you so much for helping me understand!

[nofleal-morabi]

I just liked this video, something that I usually don't do.