Solving Systems Using Cramer's Rule

We've learned a few ways to solve systems of linear equations, but now that we know how to find the determinant of a square matrix, we are ready to learn one more! It's called Cramer's rule, so let's see how this works.

Script by Howard Whittle

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[ashrafhamdan]

Thank you, Professor Dave. Wonderful series and clearly explained. It's obvious that lots of effort went into preparing the material and making it so accessible. Amazing job!!

[anonymousw]

he knows a lot about all kinds of stuff, professor dave explains!

[jdanielcramer]

Wow.🤓so proud we have our own rule.🧐if only I could understand it🙃

[Kasey-wwoy]

Love your videos and I am a number one fan! You saved my life in math. Subscribed !

[bikespike]

Professor dave, is as my friends and I would say: goated. Thank you for your hard work, it definitely does not go unappreciated.

[andrewalday]

Thank you so much for your math videos!!! Keep them going!

[ConceptualCalculus]

I've been watching older Professor Dave vids. This is the first one I've seen with short hair. Looks good. And the vid is good, as usual.

[STKeTcH]

why are you the only one on youtube that can explain it so well?!

[elenachen]

Thank you for the video! But what's the principle under this Cramer's rule?

[dua]

Dear professor Dave,
May Allah bless your soul and grant you all the good things you ever wished for. Thank you for saving us poor tortured engineers over the years. You're out superhero man

[acho]

Professor Dave never fails to explain!

[inhloco]

Thank you so much for the useful lesson!

[isaiahlynch]

Can you do a video on the quadratic formula

[presteenkagit]

can you o the same for 3x3 matrix using same variables

[aliahmed-qeyh]

it was nice if you would have used x.y.... instead of x1 and x2.... any how very good explaination

[gianfrancobruschetta]

Hi, in the comprehension |A|=9 to me, i tries many times but i have always the same result, what am i doing wrong?
Thanks.

[vishnuprakashbharadwaj]

Hi Professor!
How to find the consistency of system of linear equations with three variables?

[pinklady]

Have you put this tutorial in any playlist?

[Salamanca-joro]

Lets i did 🎉🎉 i will get 100 in the final inshallah

[benr.]

A cool trick my professor taught is how to solve a system with fewer equations than variables - if you treat one of the variables as a constant and add it to the right-hand side, you can solve it in the same way and end up with two variables expressed in terms of the third.