Linear Algebra - Lecture 17 - Matrix Transformations

In this lecutre, we will discuss matrix transformations, which are functions that arise from multiplying a matrix by a vector. We will establish some vocabulary that we will be using when discussing these types of functions.

[abhishekkdas]

I am on a revision spree of Linear Algebra. Your lectures are really lucid!

[emanthedawg]

you saved my grade dude! i appreciate it!!! no other tutorial was as concise as yours!!

[bibasniba]

I owe you so much right now. Thank you, from Florida.

[jayblue]

You read my mind on the exact things I was confused about. Thank you so much.

[Cookie-zbmh]

this is soooo helpful!!
I wish I have u as a professor!

[inadaizz]

Thank you Professor Hamblin.
I'm a U-Toledo student. Some quality last moment cramming here. ☻

[erzphantomhive]

Thank you so much for your lectures, easy to understand and straight to the point

[calvinodhis-uejc]

Thank you sir
The complex idea has been turned to a simpe concept 😊

[roland-friedrichstricker]

I wish you could explain Tensor Algebra as well because it is a cause for my desperation!

[xoppa]

the range of a transformation is a subset of the codomain

[jvc_]

Thank you so much,
please can you explain row reduction

[ZAKJAD]

Hello your lectures are so great, You're a savior <3
Also can we get all the ppt of this lecture to have a support for review thank you

[sandeepneemkar]

How can we geometrically interpret that its not in range of T? I mean how to visualize the vectors whose transformation falls out of range of T?

[dudius]

how was our row reduction different between b & c? wouldnt they have the same answer?

[elinanikolopoulou]

T(x) is the image or the transformation ?

[confused]

I wonder why mathematicians decide to use many jargons which refer to the same shit? Domain -> Codomain... is the same as ... Image -> Range.... T refers to f which is a function....
Heck....

[nealdyxthercentino]

From the example 2:00, why is it R3 to R2?

[kingnehmna]

Great easy-to-understand lecture! Thank you!!!