Linear Algebra - Lecture 20 - Existence and Uniqueness Questions

[@olzhasdossaibek1642]

Is there any possibility I can press several likes to this single video? And the rest from the playlist! What a smart man! Much respect

[@adefisanadedotun797]

Very Detailed and Explanatory. Much appreciated 💯

[@maryam-fu3mq]

Thank you so much sir 💛

[@sollinw]

clear and nice

[@chenlecong9938]

9.36 oh dear,which “previous theorem”you’re referring to?I have no idea of that,not in the least mate!Would you mind to refer me to a link of that video or something else?

[@HamblinMath]

This theorem from Lecture 9: kzbin.info/www/bejne/harUgJmYmqqbgpI

[@GenuinePeacefulTimes]

Can someone explain how the matrix A having a pivot in each row will make it so that Ax=b will have a solution for every b?

[@HamblinMath]

I answer this question in Lecture 9: kzbin.info/www/bejne/harUgJmYmqqbgpI

[@GenuinePeacefulTimes]

@@HamblinMath Thanks for the guidance. I watched that lecture yesterday but will definitely take another look.

[@aleemprince3771]

so at 5:03 wouldnt that matrix be no solution since the last row is 0 0 0 5? hence one to one, or do we just go by the rows(onto) and cols(one to one) of pivots for the answer?

[@HamblinMath]

That's not an augmented matrix. Think carefully about what the pivots in the matrix represent and what they tell you about related matrix equations.

[@benz8196]

At 4:41, why we consider the number 5 as a pivot?

[@HamblinMath]

The pivots are the leading entries in each row, when the matrix is in echelon form.