Solving Matrix Equations

This precalculus video tutorial provides a basic introduction into solving matrix equations. It contains plenty of examples and practice problems on solving equations with matrices.

Adding and Subtracting Matrices:

Scalar Multiplication of Matrices:

Solving Matrix Equations:

Multiplying Matrices:

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Gaussian Elimination & Row Echelon Form:

Gauss Jordan Elimination:

Gaussian Elimination With 4 Variables:

Inverse of a 2x2 Matrix:

Inverse of a 3x3 Matrix:

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Determinant of 2x2 and 3x3 Matrix:

Determinant of 4x4 Matrix:

Cramer's Rule - 2x2 Linear System:

Cramer's Rule - 3x3 Linear System:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[bottleofgreed]

A true guide on math subjects. Not like other articles where they just write about weird unreadable equations with no proper explanation.

Watching this really makes us learn it fast.

[notchildish]

Wow. This is what I failed in high school? Howww? It makes so much sense now. God I wish I could redo high school

[TheAlbaniaGaming]

Hello, just wanted to say i love your videos and they are really helping me with matrices. I noticed that you haven't posted a video about Rank and Range though, i think that you should!

[georgesadler]

MR. Organic Chemistry Tutor, thank you for another solid Linear Algebra video/lecture.

[Xukkus]

My maths teacher “teaches” us about matrices as if he think we already know it all. He brain dumps everything on the whiteboard and expects us to follow. Some of us just don’t understand it. Someone’s talent with maths isn’t based upon how much they already know, but how well their ability to learn things is, and he just doesn’t give us that opportunity. Thanks for this, really helped.

[dehanbadenhorst]

You make it so easy to comprehend, thanks so much

[jupiterchris]

This is the most incredible and easiest video on solving matrix. Thanks a lot

[CounterCultureWISE]

Your voice is soothing. Thanks for these!

[chepaulinus]

Sir thanks very much for helping not only student's but even people who are not schooling, because you provide just exactly what we want, I wish you where my teacher, because since I started watching your video I eventually become a genius in both mathematics and physics, thanks once more, may God bless you.

[among]

Just wanna thank you coz really I had missed out on my lecture of matrices it was giving me had time but now I can do it 🙏 .

[maxwellvukeya]

THANK YOU SO MUCH, I ACTUALLY FOUND IT HELPFUL....IT HAS ABOLUTELY HELPED ME..

[rootjim]

Since you start with numbers in the two "example" matrices implies that you're going to tie it into your equation. I'll use your method without the 2 first matrices since you got a positive result. I'm working with augmented matrices, inversion, multiplying matrices etc. I'd like to see your logic since it works. I could resolve the original equation with arithmetic methods but it IS about matrices. Thank you.

[justdont_peekme]

Thank you sir your work is appreciated.

[siyakubongafortune]

You have always been the best, thank you so much so much ❤️

[abugslife]

Thank you!! Getting through linear algebra because of you!!

[HassanYKhan]

Very easily explained. Tumbs for you 👍👍

[brycentacos]

very help ful video thnaks for your help

[mutintamuchindu]

Not exactly what I was looking for but you really are a good teacher, thank you so much.

But am kindly asking how i can solve a metrics problem where by i have a variable in the matrix, for example
A=(1 4) and and B(5 3) then asked to solve for "y"

(3 y)

[mayanksoni]

Thank you, your videos are helping me a lot.

[Az__]

Why does the scalar matrix turn to positive after multiplying?