Linear Algebra - Lecture 19 - The Matrix of a Linear Transformation

In this lecture, we will learn that every linear transformation is a matrix transformation.

[@genericblackmale8665]

Perfect and succinct explanation. No other textbook, video or notes online explain this concept as succinctly as you did. You're a great educator and thanks for sharing!

[@dakshchhabra5975]

I really liked the way how you explained all of these in a very easy way. Thank you!

[@tasnimmeem1158]

Great explanation. I went through multiple resources to get a working understanding of this topic for my upcoming test, by far this is the best. Thank you. This deserves more views.

[@highbee700]

You're the best! Your tutorials are very helpful

[@olivier306]

This was extremely helpful again, thanks!!

[@lucci3319]

thanks again sir!!!! nice and to the point explanation!! so grateful to find ur channel. short and best ever linear algebra explanations!!!!!!

[@eyobgizachew2300]

I love you, whoever you are. You are an amazing teacher.

[@akshattomar6100]

you are genoius james, day after tomorrow is my linear algebra exam and i am damn happy to found you here .

[@seymurmirzeliyev]

Just one word man,"PERFECT"

[@chicagomike6666]

Great video--great series--Question: I'm working on a assembly language "lookup" for a pump control system-is there a "library" of standard Transformation matrices? It would certainly save me some time...

[@user-bw7vv8fw2u]

still helpful Respect you sir for these lectures

[@Autumn-qc5rc]

great job

[@tijns4185]

Very helpfull, thanks!

[@MrWahsabii]

James, did you use Linear Algebra and Its Applications by David C. Lay with the production of your video material?

[@Coburah]

Yes.

[@swiftsushi]

@@Coburah Thanks James

[@Coburah]

@@swiftsushi It's quite obvious that JAMES has used that textbook

[@swiftsushi]

@@Coburah I appreciate your follow up comment James

[@Coburah]

@@swiftsushi no prob, mr Sushi

[@lucci3319]

hello james! can u plz tell us about the rotation of 'Phy' around origin in clockwise rotation. i didn't understand this concept.

[@HamblinMath]

I'm not sure what you're asking, exactly, but this might be helpful: en.wikipedia.org/wiki/Rotation_matrix

[@Coburah]

He says multiple times that any linear transformation is a matrix transformation, but as I understand it, only transformations from Rn to Rm are considered matrix transformations, which implies that there are linear transformations that are not matrix transformations.

[@HamblinMath]

At this point in the course, the defintion of "transformation" is a function from R^n to R^m. We don't generalize that definition to other vector spaces until later in the course.

[@Coburah]

@@HamblinMath that makes sense. I just wanted to plant a flag there in case someone else was also confused by the contradiction between what was said and what the book says. I really appreciate your lectures, thanks!

[@Nelson-ys6tk]

damn why are good explanations like this not common in uni's

[@1UniverseGames]

Sir can I have your email address to share a problem, can't solve it