Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

[yuanzhou]

thank u Bob! An 8 minutes lecture is even better than some teachers' an hour class!  simple and clear!

[kigormley]

Thank you. What I call a no nonsense straight to the point tutorial full of valuable material.

[timparker]

Thank you Dr. Bob. You've really helped me through Linear Algebra with your thorough understanding and explanations of concepts, as well as numerous concrete examples to show how to apply these concepts. You really know your math!

[MathDoctorBob]

@Thatdarnmonkeylove Thanks for the kind words! A nice intro to non-linearity is Gleick's Chaos Theory book. It overhypes the subject, but is extremely readable and intended for a general audience.

For a rigorous approach, you want to learn differential equations. That will put most of your linear algebra to use, and you will see the beginnings of dynamical systems if you get far enough. - Bob

[thiesus]

thanks Dr. Bob. I really truly appreciate the video.

[farhanshams]

Thanks :) your lecture helped me before my exam :)

[narminabaghirova]

Your videos are very helpfull, thank you:)

[MathDoctorBob]

Nice! I did undergrad down the street at Penn, but spent time at Drexel with high school friends. Is Cavanaugh's still there? - Bob

[MathDoctorBob]

@candamohcine You're welcome! Hope you are doing well. - Bob

[MathDoctorBob]

What school? All my teaching is online these days. - Bob

[sunzheyuan]

thanks! hope i can get a good result in my exam!

[agrimamunjal]

Thank you so much! This was so helpful

[fsaldan]

At 4:15 I found asub12 = 5 and not -1. I first switched the rows then I multiplied the first row by -3 and added it to the second row. Did I do something wrong?

[MathDoctorBob]

I was thinking of the one on 39th. Looks like it's still there also. - Bob

[xoalsoxana]

Thank you very much! Your videos are really helpful! :D