Union of subspaces 

Linear Algebra and Set Theory, that''s a very interesting combination. Thank you very much.

Thank you soooo much, really enjoy your fantastic video, they really make my life easier.

excellent stuff, keep up the good work

Love your videos. Saludos desde Chile

Super clear. Thanks.

Really Cool THM, love it

Thanks!

Could you please make a video of direct sums? Exams are coming and linear algebra is a tough one :) love your videos!

Can you tell me the way to find the union of two subsapces of a polynomial space of degree less than or equal to n.I request u to make a seperate video on polynomial space and their properties @dr_peyam

Sir, considering the example that we have two sets w1 and w2, where w1 is {(0,1),(0,2),(0,3)} and w2 is {(1,0),(2,0),(3,0)} then if i want to find out the Union of these sets, will it be {(0,1),(0,2),(0,3),(1,0),(2,0),(3,0)} or the literal sum of the elements of w1 and w2 like (1,0)+(0,1) etc etc ? Please clear it sir. If it is not the literal sum, then in the example given in the starting of the video, why we are like adding the two points and saying that it doesn't exist in the union, why even on the first hand we supposed it to exist in the union ?

Thanks D peyam السلام عليكم

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I have the biggest crush on you 😍 thanks for the vids they’re gold!

Haha..., "Subspace" reminds me on StarTrek :D But seriously. A polynomial P(x)=ax³+bx²+cx+d is the dot-product of two vectors: (x³,x²,x,1)o(a,b,c,d) So, the polynomial has a solution P(x)=0, when the Vectors are orthogonal. Because dot-product is zero. Then (x³,x²,x,1) is element of the orthogonal subspace of (a,b,c,d). Or am I wrong?