Lecture - 1.3 Vector Subspaces

[@EdWitten-rq9bz]

For people watching in the future, in the proof for intersection of subspaces being a subspace, we first have to show that the intersection is not a null set.

[@epistemophilicmetalhead9454]

Vector subspace: For a vector space V, W is a vector subspace if W is a subset of V and elements of W satisfy addition and scalar multiplication properties. Vector subspace is also a vector space if you satisfy scalar multiplication and addition, you'll satisfy every other property (of vector space) except identity and inverse R^k isn't a subspace of R^n for k

[@karthikshunmugaiah4532]

At least 1 difficult prove of proof subspace conditions. Your soln al most excerise. One or 2 give full proof consequently example.

[@KumarKumar-oy1fz]

Can any one post proof of last exercise.

[@abhidas1270]

Sir can I Get proper notes of your lecture?

[@vishalgaur9669]

Bro ,He just wrote everything else, what you want ?

[@snehangshuroy]

archive.nptel.ac.in/content/storage2/courses/downloads_new/LectureNotes/111106135/111106135.zip

[@PC.2411]

Subspace conditions is not sufficient as 0 belongs to W should include in definition

[@Linearda]

No,actually it's not necessary to write 0 belongs to W because it's just a consequence of vector addition...there is no need to check whether it contains or not..it will be automatically contained if it will be a vector subspace

[@devd_rx]

just use scalar multiplication by 0, automatically its there in W

[@ayushaggarwal906]

@@devd_rx Bro you are alive. My first time seeing you since jee channel like mohit tyagi, eduniti etc. How's its going?

[@harshdubey4037]

tic how you are giving everything for us to do,this is not acceptable for an iit professor...you should explain atleast some questions compleately....everybody knows theory in maths we are not here to learn theory....

[@Amit1994-g9i]

Spammer!

[@ArinNagarwalme22b107]

this is how it is supposed to be.

[@ThakursBoy]

3done✓