01 - Must-learn optimization concepts - Affine set and its corresponding subspace.

By the end of this video you are going to be learning the following:
1- What is an affine set?
2- Why an affine set is associated with a subspace?
3- What is a subspace?
4- Solution set of linear equations is an affine set.
5- Every affine set can be expressed as the solution set of a system of linear equations.

[@andywang4189]

I'm doing self learning on the book and this is really helpful. Thanks.

[@TxaiFolly]

Thank u for this video, my teacher's explanation left me confused but your choice of words and graphic representations helped a lot

[@mathelecs3884]

@TwentyXanax: I am so happy you found it useful!

[@KKumar-xn8zf]

a great explanation sir ......Thank you

[@mathelecs3884]

@K Kumar: thank you for your kind word!

[@ebrahimfeghhi1777]

Fantastic video!

[@mathelecs3884]

I am so glad you found it useful!

[@sidolin6671]

10:13 seems that alpha+beta already equals 1, so 1-alpha-beta in the next slide should be zero? Would it easier to write alpha*(z1+x0)+beta*(z2+x0) in C, where alpha*x0+beta*x0=x0?

[@dewanmohammedabdulahad527]

Thank you. its a great explanation. Can we get more lectures form you :)

[@mathelecs3884]

I am a little bit busy with my research this semester but I will be posting videos soon.

[@vincentporras1459]

Thanks for the video! For folks looking at the next section of affine sets/affine hulls, which is in the Boyd Vandeberghe textbook, heres a helpful video: czcams.com/video/NC_A32FILZ4/video.html