Cramer's Rule - 2x2 Linear System

[@TheOrganicChemistryTutor]

Matrices - Free Formula Sheet: bit.ly/3UE9Cmk Final Exams and Video Playlists: www.video-tutor.net/ Next Video: kzbin.info/www/bejne/haWbaKSCibR3mrM

[@peterelhelou4512]

Hello Friend any video about vector space ?

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[@dodo_can_swim]

I guess it's 10 Min and 32 sec

[@ultimatedoug2227]

@@dodo_can_swim for 2 examples, 1 example would be 5 minutes and 16 seconds, which proves the point of the original commentor

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[@hamaadsiddiqui8927]

Cramers rule was extra credit on my test and I literally watched this vid while doing it and aced that shi 💀thx bro

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exactly what I needed. you explained it in 5 minutes what took my prof 50 minutes and I still didn't get it. thanks bro

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[@simonkelly1410]

I missed all last week cause I was sick and that whole was cramers rule so this really came in clutch

[@bangbrosuser3963]

ive watched your other videos and still couldnt get systems of equations. now i have this and im geeking this makes so much sense

[@sayedahmed1401]

Bro you’re a genius. I thought I was stupid because I didn’t understand in school

[@lusi635]

I am Indian and I study class 10 or I have read this

[@lolerishype]

Anyone ask?

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[@leviwright9493]

a fresh of breath air compared to the usual substitution or elimination that the teachers want you to do.

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[@kasufert]

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me in Calc IV still having to look at this again because i forgot 💀💀💀

[@BadSir16]

so much easier than my lecturer. thank god you were here to help. she only gave me a 3 by 3 and that was horiable. thanks again

[@fathimarukaiya1695]

thx alot for this vid i understood cramers rule and i hav math exam 2morrow this vid was so helpful once again thx alottttttt

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another smooth explanation of Cramer's Rule - 2X2 Linear System/ Equations. This is a well-known rule in Linear Algebra.

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[@izreeljames7953]

Terrific job..Just to clarify like you said it's (a1 * b2) - (b1 - a2)

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[@tarin925]

You made this so easy ,thank you so much

[@kaerav1249]

quick question: when solving for the determinants (D,Dx,Dy,) once you multiply how do you know which sign to use or is it just subtract 8x + 4y = somethin 2x - 5y = somethin D = --- --- | 8 4 | | 2 5 | = 40 (how do you know whether to subtract or add?) 8 --- ---

[@1975coucou]

it is just subtraction

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[@tvvt005]

What is the reason behind the specific arrangement of the variables into creamers rule? Is there any derivation or proof video that shows how the rule works intuitively?

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1:09 . 2:21 . 2:34 . 4:06 .

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[@ramonflores6755]

way longer than other methods for no reason just because it sounds fancy

[@jjcadman]

For a system of 2 equations, that may be true (substitution or elimination are probably faster). When you start doing systems of 3 or more equations (for 3 or more variables), Cramer's rule is probably going to be much faster. But, learning the 2x2 case is a helpful stepping stone for understanding what you are doing in those more complicated cases.

[@Kycirion]

But why? Why would you ever do this???? The system can be solved in 1/4 of the time by the conventional route.

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How to check when there is a denominator to?

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[@lakshmipathy5192]

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[@roonilwazlib4433]

or you can just use substitution/elimination

[@ReplayButton_7518]

yes you can,but it's not trivial if the degree of your linear system is big ( example n > 4 )

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[@anthonysanchez5269]

What happens when you get a decimal?

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1.6 question number 1

[@mohammadsulaiman2301]

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[@straya520]

So I can't figure out why you subtract in the equation?

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Then you have a problem

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[@lindokuhlenkamela8735]

Thanks man

[@sheetal_s5153]

Please tell me Cramer rule to find four variable values in 4*4 matrix

[@divyoroy9056]

You do the same thing

[@andrewreyes387]

Super helpful

[@atharvjoshi4724]

I have simpler solution just multiple times both sides by 0 There you go for a zero mark in exam ,😁

[@katherinejung-zimmerman224]

The video is great but you're wayyyyy too quiet! I had the volume turned all the way up on my computer and still could hardly hear what you were saying!

[@Spabibble]

I feel like this is way too many steps 😂 why can’t I just solve it like I usually do?

[@jJo663]

Same. If u are given with 3 variables like x, y and z it will take too long using these steps