Question

What is standard basis of C^3?
Please

Answer 1

the same

Answer 2

any field, will have the same basis, just different scalers...

Answer 3

same with what? you mean (1,0) , (0,1)?

Answer 4

well, (1,0,0),(0,1,0),(0,0,1)

Answer 5

C^3

Answer 6

if I have x =(1,1,1) in C^3, then x must be expressed under the form of (complex, complex, complex) right? so what are they?

Answer 7

e_1+e_2+e_3

Answer 8

im confused by the question I think....

Answer 9

Me too, I know x = (complex, complex, complex) and complex field has the basis (1,0) (0,i) but not sure ,

Answer 10

(1+0i,1+0i,1+0i)?

Answer 11

http://math.stackexchange.com/questions/123448/what-is-the-standard-basis-for-fields-of-complex-numbers

Answer 12

if (\(\xi_1, \xi_2, \xi_3\)) is basis of C^3 then x = \(a\xi_1+b\xi_2 + c\xi_3\) so, that 's why I make the question.
Thanks for the link, I went there but not clear.

Answer 13

I think the problem is using (0,i) for a basis, you want (0,1)
you can get to any vector in c^3 with
a(1,0,0)+b(0,1,0)+c(0,0,1) where a,b,c are in C

Answer 14

(0,i) is not a unit vector.