Thank you for not explaining the spooky magic haha. The jargon and notation loses me when my professor does general proofs and stuff. Having a clear and concise example will helps me to understand the spooky magic of his lectures!
Now I get it Every other professor and youtuber is trying to prove the "spooky magic" which makes students lose interest in the video and sometimes the topic itself. Thank for too the point explanation.
Haha “spooky magic” I find your videos very helpful man and I like how explain things (casually fun and informative). Keep the good work up mannnn I hope you reach one million subs one day!
Yes, for a 1-1 transformation the columns must be linearly independent which means that there must be a pivot in every column. Having a piviot in every row meant that the transformation is onto.
Damn I worked it out myself: for a transformation T(x) = Ax, the jth column of A = A*ej, as defined by matrix multiplication; A*ej = T(ej) as defined by T(x); Done.
Isnt the spooky magic just the fact that your multiplying the transformation (which is just a matrix) by the identity column by column. Which is the identity property A*In = A. Thats at least how I think about it.
![How to Know if a Transformation is Linear: Transformations (4/4) [Passing Linear Algebra]](http://i.ytimg.com/vi/-1Bra_3Ll5w/mqdefault.jpg)
![How to Know if a Transformation is Linear: Transformations (4/4) [Passing Linear Algebra]](/img/tr.png)
![Matrix Transformations (1/4): Domain, Codomain, Range, Standard Matrix [Passing Linear Algebra]](/img/1.gif)
Thank you for not explaining the spooky magic haha. The jargon and notation loses me when my professor does general proofs and stuff. Having a clear and concise example will helps me to understand the spooky magic of his lectures!
Now I get it
Every other professor and youtuber is trying to prove the "spooky magic" which makes students lose interest in the video and sometimes the topic itself.
Thank for too the point explanation.
You get straight to the point and explain it really well. Thanks!
Haha “spooky magic” I find your videos very helpful man and I like how explain things (casually fun and informative). Keep the good work up mannnn I hope you reach one million subs one day!
Thank you very much you´re really helpful to me!! I´ll really recommend your channel to my classmates who are as lost as I was
Straight to the point. Wow. Thank you.
thank you for that powerful explanation keep it burning
but you said in the previous video that if the transformation is 1 to 1, it has a pivot in each column, not row. which one is correct?
Yes, for a 1-1 transformation the columns must be linearly independent which means that there must be a pivot in every column. Having a piviot in every row meant that the transformation is onto.
Hi, I assume that this is the same as a representation matrix?
Damn I worked it out myself:
for a transformation T(x) = Ax,
the jth column of A = A*ej, as defined by matrix multiplication;
A*ej = T(ej) as defined by T(x);
Done.
Isnt the spooky magic just the fact that your multiplying the transformation (which is just a matrix) by the identity column by column. Which is the identity property A*In = A. Thats at least how I think about it.
thank you sooooooo much for this great video!!!!
that's some spooky magic
Thank you! It was very helpful:)
the goat
"but I'm not a math major, so I don't really care"
I love u
nice
great