Vector Spaces 1: What is the dimension of R over Q?

This video asks -- and answers -- the question: What is the dimension of R over Q? We explore what it means that a vector space has a dimension, look at some examples, and state a theorem which will be proved in the next video.

[someonehere]

I was so desperate while I was doing my homework, couldn't find anything explained clearly enough until I saw your video. Thank you a lot !

[vijaysinghchauhan]

I really appreciate the way you explained the concept.

[sumanyumehrotra]

Thank you! Was wondering this when a friend pointed it out

[jhoomawasthi]

Cleared all my doubts in one go
Thanks sooo much

[rajravi]

Wow...sir... explanation is too good....

[AdnanKhan-mmbo]

It's just an awesome explanation..

[northwest]

well explained..!
thanks a lot.. it helped me.

[___mikechecking]

What is the dimension of C^2 over R and how explain ?

[theKnowlerience]

√2= 1/2•2√2 where 1/2∈Q, 2√2∈R.
√2 can be formed by
{2√2}

[motivationtwopointzero]

Sir, what's the dim of c^2 over c.??plz explain sir.

[toobisparrow]

@mathAHA Is vector space R over Q has dim a countably infinite or uncountable...? please try to be more precise not like above video u just said it's infinite but not countable or uncountable

[sban]

It seems dimension is uncountably infinite.