1.9 Matrix of A Linear Transformation

Jordan D. Webster describes how any transformation on R^n has an associated matrix which gives T(x)=Ax for all vectors x.
He also describes the ideas of a Transformation being one to one and being onto.

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[@bivashchakraborty6518]

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Same

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[@programmingbezaleel]

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[@fredphy1]

Thank you

[@AdeelKhalidSE]

Nice videos Jordan, I'm learning freely from your resources. GOD bless you.
I have a question about an example 21:12
How we multiplied
[4
-2
3]
with
[1
0]
I'm stuck on it, please help.
Thanks!

[@jordanwebster3272]

Hi, When you are multiplying these are 3 by 2 matrices. I did not write the first column since those numbers would have been multiplied times 0. So the matrix is [4 , x // -2 , y // 3 , z] where the x, y, and z could be anything. (We find out what those numbers have to be using the second multiplication)

[@AdeelKhalidSE]

@@jordanwebster3272 I was just confused how those vectors were multiplied. Thanks for explaining it.

[@dustynlago3398]

can you make your notes avail to download?