Question

Cómo determinar si V = (x,y,z) en R : z= x + y , es un subespacio vectorial de R?

Answer 1

i guess it will be more helpful if you post the question in english, please.. if you can

Answer 2

I think this translates to, "how can we determine if \(V=(x,y,z)\in\mathbb R,z=x+y\), where \(V\) is a subspace".

Answer 3

So, what are the three properties, and how do we test for them?

Answer 4

"How do you determine if V = (x,y,z) in R: z=x+y is a 'subvector' of R"
or in other words, if it is a vector that is contained in R.

Answer 5

^ a better translation.

Answer 6

I"m going to sleep; be back in the morning, so cheers!

Answer 7

tratare a explicarlo en espanol, aunque no puedo usar acentos:

hay dos cosas para determinar si W es un subespacio vectorial de V
1) todos los vectores en W son cerrados en relacion con adicion vectorial
2) todos los vectores en W son cerrados en relacion con multiplicacion escalar
entonces, escribe las formas de los vectores en W\[\vec u=\langle x,y,x+y\rangle\]\[\vec v=\langle a,b,a+b\rangle\]es \[\vec v+\vec u\]un elelmento de W?
y, es\[c\vec v\]donde \(c\) es un escalar un elemento de W?
(disculpa por mi espanol, aun estoy aprendiendo)

Answer 8

Oh man, @TuringTest , you are the awesomest.

Answer 9

thanks, but most people here speak multiple languages. I barely speak 2.

Answer 10

I speak 2: English, and internet English :D

Answer 11

In any case, the important part is you managed to be helpful to someone speaking in another language.

Answer 12

thanks, I try :)