# Linear algebra - vector space.

Let V be the set of functions having the set of real numbers as domain whose graphs pass through the point : a) (2,0)

b) (2,1)

Is V a Vector space?

https://brainmass.com/math/linear-algebra/linear-algebra-vector-space-400226

#### Solution Preview

To check whether V is a vector space, it must be closed under addition (i.e. if f and g are elements of V, then so must f + g) and closed under multiplication (i.e. if f is in V, then so must cf for any constant c). Also, V must include the 0 ...

#### Solution Summary

The expert examines a set of functions having the set of real numbers as domains which pass through a point.

$2.49