Matrices Top 10 Must Knows (ultimate study guide)

In this video, we'll dive into the top 10 essential concepts you need to master when it comes to matrices. From understanding the basics of what a matrix is, to performing matrix operations, finding the inverse, calculating determinants, and applying Cramer's Rule—we've got it all covered. We'll also explore reduced row echelon form and how to use matrices to solve systems of linear equations. Hopefully this video helps!

0:00 - What is a matrix?
3:11 - Basic Operations
6:01 - Elementary Row Operations
11:05 - Reduced Row Echelon Form
19:43 - Matrix Multiplication
22:22 - Determinant of 2x2
27:17 - Determinant of 3x3
31:26 - Inverse of a Matrix
36:48 - Inverse using Row Reduction
42:31 - Cramer's Rule

[Develler]

i just want to tell you one thing
*NEVER EVER STOP MAKING VIDEOS LIKE THIS*
these kind of videos helps a ton of students <3

[john.]

Im speedrunning math with your channel.

[tapiomakinen]

I understand that matrices lend themselves to fast math in GPU's, but somehow I find them to be confusing, when trying to understand the underlying problems they are used to solve. I wonder if all the transposing, inversing and augmenting are self inflected necessities that don't exist outside of matrix world? There are so many rules and constraints, that they don't seem to be invented by the gods of math and logic. 😇

[ObseAdelo]

After struggling a year i finally understand it thanks to you brother 😊 and keep uploading ❤

[Chris-hfsl]

I was a little rusty on matrices (ie. had forgotten everything), since I hadn't used them for over 50 years, but this video brought it all back - absolutely superb. Although, having said that, inverting a matrix is easy nowadays - just type it into a scientific calculator (eg. HP48) and press 1/x. 🤣🤣🤣

[FerreroRocher-rf]

thank you so much for this! this is amazing and so informative ❤

[TejvardhanMAJJI]

Thanks a lot my friend because iam the person who commented to upload matrices ❤ from India ❤❤🎉😊😊

[Larry]

Very well explained. I remember a college course long ago that took 10 week to explain this.

[bkeobrahma]

I think this is very helpful vedio to revision about the matrices, good luck❤❤ from india

[clark]

just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over.

[priyasiri]

Please do a video on circles and complex numbers..

[YacobBawiso-vz]

Thank you for simple and clear videos. Please upload about sequences and series???🙏🙏🙏🙏

[YacobBawiso-vz]

Thank you for simple and clear videos. Please upload about sequences and series???🙏🙏🙏🙏

[clark]

Funny thing to me in math is always: You think you understood something and then the prof asks a question you have absolutely no answer for.

[vtb]

Matrices are an excellent way of storing data for subsequent statistical analysis. We've become used to spreadsheets / databases but a simple custom program using a matrix really flies.

[Greenag]

Thanks bro now i understood all about matrix❤❤

[gordonfrommalmak]

Do another video about "... but it keeps getting harder."

[sekai]

Thank you man, also can you make a video about real and complex numbers

[TejvardhanMAJJI]

Friend, please make a video on functions ❤❤❤

[giovannigramegna]

Instant subscribe! Some other ideas for 10 must knows videos: advanced matrix, linear algebra, calculus I, calculus II, vector spaces.