Question

Describe the zero vector of the vector space:
c(infinity, -infinity)

Answer 1

i know what a zero vector is, but the rest of it im at a loss for

Answer 2

what is c(inf,-inf) represent?

Answer 3

C(infinity, -infinity) I think is referring to any continous function

Answer 4

Whoops it is c(-infinity, infinity)

Answer 5

is that the number line? maybe?

Answer 6

i got nothing :/

Answer 7

which class?

Answer 8

umm sorry i am back This is linear algebra

Answer 9

I think it is describing the function

Answer 10

C(-infinity, infinity) may stand for the set of all continuous functions, defined over R:
f:R->R, f continuous on R
This set is a vector space (as the sum of two continuous functions is a continuous function and a continuous function multiplied by a real constant is a continuous function)
The null vector of this space is the null function (which is continuous), that is:
f:R->R, f(x)=0 for each x.