Parametric Vector Form and Free Variables [Passing Linear Algebra]

[@Nicro328]

You don't know how long I hunted for this video. Too many people don't explain the process and just jump to solutions. Very frustrating if you don't already know the concept. Thank you very much!

[@natecook0890]

SAME...

[@tommytubbles4208]

Great and simple explanation without the unnecessary language of academia to make the professors look smart. Honestly, such a straightforward explanation to a core concept of Linear Algebra. Many thanks!!

[@ibrahimMohamed-bz8xw]

saved me hours of trying to figure this out thank you!

[@matteashima9959]

honestly this saved me from tears. bless

[@EnigmaStig]

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[@chessketeer]

This is unbelievable helpful. Thank you!

[@emilieoberg8587]

This helped me a lot with my understanding of infinitely many solutions, free variables etc. Thanks so much!

[@specter1001]

Thank you so much! If only I came across this video HOURS earlier!

[@ShaunJW1]

Quick, clear, basic formula. Thank you!

[@VictorianoOchoa]

Great video, thanks!

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[@KING-zz6qt]

Amazing! Thank you so much

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[@terrylee6904]

Thank you, very much!

[@qudhachure9598]

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[@usmanali-ze1vg]

Very good video helped me a lot thank you 😊

[@eenzyme898]

That video is really helpful！

[@gemmaweber4115]

This is great! Thanks :)

[@savindirupasinghe7989]

helped me a lot.thank u so much :))

[@neelpatel1021]

You are my goat.

[@sub_playz_yt4626]

Thank you bro

[@thederpsters880]

Good video!

[@blake..-]

Thank you.

[@AdrianGonzalez-ms5li]

Yes awesome vid

[@themisfit6042]

thanks!

[@mu243]

Thank. You. So. Much.

[@edgarcastillo6914]

Thank you!!

[@omarsalim2028]

شرح ممتاز

[@VivekSingh-vl5wu]

Thanks a lot.

[@jaymistry689]

will this trick work for any linear formulas?

[@CaelMcDermott]

goat ty

[@shotikoedisherashvili3834]

what would be the solution set span

[@thehamsterarmy2380]

i love you so much

[@socksamazingchannel]

Can you set x3 and x4 to s and t for example?

[@stemsupport3645]

For sure!

[@karimabouelela3665]

please do calc1 integrals and derivates

[@steven3474]

in my solution book,in some cases they use the same variable for two different free variables. for example x3=a and x4=a? why is this?

[@stemsupport3645]

Not too sure. x3 and x4 can be anything, but they don't necessarily have to be the same value.

[@steven3474]

thanks boss

[@jslowry]

w's all around the board

[@ChloeBadoe]

Thanks! This is extremely clear and helpful :) But what do I do if I'm given a polynomial with no free variables? Such as: -4x -3y +7z = -2? I'm supposed to find [xyz] +s[___] +t[___] Super confusing given all the steps I'm seeing online require free variables!

[@enzi.]

🙃extremely late reply but to whom it might help your free variables (non pivot) will be y and z