Linear Algebra 21 : 4 Fundamental Subspaces

[@maverick7590]

I think you messed up the order of the equation for the left null space. (A^T x)^T = x^T A Otherwise you won't get a valid multiplication. You cannot multiply an n×n matrix from the left to a row-vector (which is basically a 1×n matrix).

[@derekbanas]

Sorry about that. I wasn't considering that in the moment

[@OpCzar]

Derek's presentation is always top notch, no matter the subject!

[@derekbanas]

Thank you for the nice compliment :) I try to do my best

[@rbc812]

What is the purpose of learning subspace. Is there any significance?

[@alijoueizadeh2896]

Thank you for your precious time.

[@mariairimie1663]

Great video!!

[@shredding1699]

thank you very much very very good !

[@yasirdikbas3256]

Derek please keep up the good work you are awesome !

[@derekbanas]

Thank you very much :) I'm happy to be of help

[@pinklady7184]

*YOO DA BEST!* Thank koo. 😊

[@hameedyousfi2779]

Thanks alot sir if u upload tenserflow tutriol after this algebr then sir start a new series real project with m.l like you did with 12 videos series on javascript and i suggest like face recogniation 3d picture and aton of thing which you can do sir and again w8ing for your tututriol

[@derekbanas]

Those videos are coming. I'm covering statistics, probability, linear algebra and algebra because when I get into ML those maths are required. Sorry for the wait

[@hameedyousfi2779]

@@derekbanas no worry sir you are doing exactly the good thing because after your this stat, prob,algebra,linear alge then you start the thing so we have full grasp on algo sir no worry sir keep doing this thing and agian allah give you more success that you write some algo that we can detect the covid patients like what kind of they have some pain on scale 1 to100 % they have chances to live or not some thing but we need to hard work then we can success and also pray for you specially that allah give you succes keep always you happy and sir if you need any thing in future like money or any thing do remember me my email [e-mail] and whatsapp number 03152316615

[@moutonguerrier]

thanks !

[@derekbanas]

Happy to help :)