Lecture 1: Linear Algebra ( what is a FIELD ?)

[@marcfruchtman9473]

I have been watching quite a few different videos from popular youtube channels on the topic presented here (in various stages). This video was by far the best because you explained what is NOT a binary operation... and that helped tremendously with my understanding. Thank you for making this video.

[@Obliviousovertimer17]

LEGENDARY, I UNDERSTOOD EVERYTHING I NEEDED WITH THE FEW WORDS HE HAS SAID

[@perumalmani9268]

Fantastic lecture Mam..I want more topics and also solve the theorem, problems etc

[@NoChalkAcademy]

Thank you for your support. Do Subscribe and Hit the bell icon for latest updates. Please do like and share. Keep supporting and motivating us. Each Share and like is an energy booster for us. Thank you. Feedback: forms.gle/Y6fNmj2jjcKXJvK49 Website: www.nochalkacademy.com

[@elizabethperser1035]

You saved me.

[@noorulain9050]

Very funtastic mathod it is helpful for me mam nice 👍

[@jatindhiman5643]

Thanks alot Mam u have very intersting way of teaching of higher maths.

[@mukulumathe7352]

Easy and reliable teaching style mam...great...

[@NoChalkAcademy]

Thank you so much for loving our KZbin Channel. Please do like and share videos. Subscribe the Channel for latest videos. We have started new section i.e. online quiz. Attempt that quiz and give your feedback.

[@mukulumathe7352]

@@NoChalkAcademy I request something if u don't mind ...can you make lectures bilingual as hindi+English....if it is possible...thks

[@nikhilyeware9036]

Lucky to find this channel 2days before my exam 😌...ma'am u earned a viewer ❤️

[@NoChalkAcademy]

Best of Luck for your exam! I am happy that it helped!

[@time2rich881]

@@NoChalkAcademy man can please provide notes of these topics

[@Pari.-1026]

Nice mam it's great. Thank you mam.

[@debmalyasadhukhan]

mam thanks this is the best explanation I have got over the internet

[@SAKJL-v1z]

This lecture series is the best collection available on youtube, Great work. Maam please share the name of the book/books that you followed in the series.

[@AmanSingh-wt6dl]

OMG, Thank you so much mam, very good explain👍

[@auuahaah]

Behad hi saral bhasha me apne samjhaya dhanywaad mam🙏

[@Shrejaiswal000o]

Lecture is osm👍

[@NoChalkAcademy]

Thank you for your appreciation. Do Subscribe and Hit the bell icon for latest updates. Please do like and share. Keep supporting and motivating us. Each Share and like is an energy booster for us. Thank you. Feedback: forms.gle/Y6fNmj2jjcKXJvK49 Website: www.nochalkacademy.com

[@amethyst6073]

brilliantly explained mam

[@vivekgoswami474]

Starting linear algebra today , Didn't read it in my graduation days 😣 Madam can you suggest me a book to follow along with your lectures to start from basics in linear algebra

[@NoChalkAcademy]

Thank you for your appreciation. Please do like and share. Keep supporting and motivating us. Each Share and like is an energy booster for us. Thank you. Feedback: forms.gle/Y6fNmj2jjcKXJvK49 Good books for Linear Algebra: 1) An introduction to linear algebra by V krishnamurthy 2) Introduction to Linear Algebra by Gilbert Strang 3) Terence Tao linear algebra notes terrytao.files.wordpress.com/2016/12/linear-algebra-notes.pdf 4) Linear algebra done right by Sheldon by Sheldon Axler 5) Linear algebra done wrong by Sergei Treil

[@NoChalkAcademy]

Hello Vivek, How's your learning process going on? If you have any difficulty please share with us. You can also visit our website for free quizzes by google form. (Site: sites.google.com/view/maths-for-all/home) All the best Thank you.

[@Mr.Peanut560]

Thanks

[@mukulgupta4008]

Better write (C-{0} , + , •) is a field, instead of (C,+,•) since 0 has no inverse for multiplication , same for (R,+,•)☺

[@NoChalkAcademy]

The existence of multiplicative inverse is required for all elements of the field except the additive identity, i.e., 0 in case of real numbers. Therefore both R and C are fields. We do not need to exclude zeros. Thank you www.nochalkacademy.com

[@UPSC_IFSAspirant2025]

@@NoChalkAcademy Ma'am, same thing is taught in NPTEL lectures of computer science discrete maths syllabus. we have group theroy. those faculties also taught us that (R, .) is not a group , it is only monoid. ma'am can you suggest any book which can clear this doubt ? please ?

[@UPSC_IFSAspirant2025]

@@NoChalkAcademy Sorry Ma'am, Guys, Ma'am is right. and Some NPTEL video of Computer Science department are not specifically mentioning this R - {0} . I found a NPTEL video, please watch it for clarification: kzbin.info/www/bejne/e6HMloCXacuaeqs kzbin.info/www/bejne/e6HMloCXacuaeqs

[@padmanathanpadmanathan712]

@@UPSC_IFSAspirant2025 thank you

[@saiyamjain4-yearb.tech.mec292]

Mam can you please provides thses notes also. It would be very helpful

[@vincenzocassano5609]

How can R be a field under multiplication and what is the inverse of 0 under multiplication

[@morrirajeshwarirguktbasar3919]

osmm mam

[@hamshihamsu5461]

Thank you very much 💓 mam 💞💞

[@hrishikeshtalukdar7437]

Can anyone explain how does the real numbers become a field? the multiplicative inverse of the number zero does not exist.

[@vintagegamer7027]

I believe in the definition of fields that is supposed to be addressed. That did not happen in this video, unfortunately. The reals +,* are certainly a field, the multiplicative inverse must hold for all real numbers other than zero

[@aayushsingh3068]

Field can have any two binary operations or just addition and multiplication??

[@NoChalkAcademy]

aayush singh any binary operations.

[@aayushsingh3068]

@@NoChalkAcademy thank you ma'am

[@lavanyalakshmigurijala1347]

@@NoChalkAcademy but can we do all properties for any binary operation?

[@BishwanathDutta]

Thank you

[@monojityengkhom7715]

thank you so much mam

[@irmuunbilig8218]

thank you so much

[@Ops_pops]

❤️❤️❤️ it mam👍👍👍👍

[@silviapetrova8562]

Thaaaaaankkkkk youuuuu

[@NoChalkAcademy]

Thank you for your support. Do Subscribe and Hit the bell icon for latest updates. Please do like and share. Keep supporting and motivating us. Each Share and like is an energy booster for us. Thank you. Feedback: forms.gle/Y6fNmj2jjcKXJvK49 Website: www.nochalkacademy.com

[@vishwakarmaakaash1097]

ma'am there is one null existence, is this additive identity?

[@nethajis1384]

Mam do u use graphic tab to write...?

[@himanshusoni2374]

Madam i want linear algebra pdf

[@NameRedacted-fn4io]

That’s not the definition of binary operations. Thats the definition for closure under a binary operation. Completely different things.

[@md.arshadsherwani]

Pls clear a doubt that in Set R we don't find any multiplicative inverse of 0 then it doesn't satisfied the property which is existence of inverse w.r.to multiplication operation then how R is field....

[@NoChalkAcademy]

Md.Arshad Sherwani The existence of multiplicative inverse is required for all elements except the additive identity which is for 0 in case of R and C.

[@UPSC_IFSAspirant2025]

Guys ma'am is right. For clarification you can watch this video of NPTEL. kzbin.info/www/bejne/e6HMloCXacuaeqs Other NPTEL videos of Computer science department didn't correctly mentioned.

[@mohdmustjaab3426]

mam ye application konsi hae jispe aap pdhaa rhi ho

[@rammeena9946]

mam can i get pdf notes of this and the other lectures

[@ashutoshshukla5532]

Mam ap R ke ange I kyu likh rhi??? Please reply

[@Anubhav2101]

Mam can I use S lang book with your lectures??

[@k.upendernayak7966]

Mam please provide the handwritten notes which you are dealing with,it is just like spoon feeding Please provide me the notes

[@holariyakundan616]

Mam pdf nhi Milega kya telegram se

[@NoChalkAcademy]

Dear, You can email us or visit on our site for pdf. Site: sites.google.com/view/maths-for-all/home Thank you All the best.

[@gurmansingh1172]

Steps from set to vector space are Set Binary operations Group Ring Field Vector space Is it correct plz answer

[@nileshbagada1729]

👏👌👍

[@AbhaiveerSinghTuli]

videos like these make me believe in God

[@AbhiKumar-og2jv]

When are you going to post lectures on other topics like rank nullity th, cayley Hamilton theorem .

[@ahilxd2589]

but there is no exist of inverse for zero in real numbers

[@NoChalkAcademy]

The existence of multiplicative inverse is required for all elements except the additive identity which is for 0 in case of R and C.

[@ahilxd2589]

@@NoChalkAcademy but over teacher says that in ( R, . ) inverse of 0 doesn't exist so it's not a group.