Let be the linear transformation determined by where

1. For each of the following vector spaces,

if the space doesn’t have a basis enter NONE.

if the space has a basis then enter a list of vectors that form a basis for the space. Separate basis vectors with commas if the basis has more than one vector . vector

(Remember: basis vectors must be linearly independent.)

a) Basis for ?
b) Basis for ?

2. The dimension of the kernel of is .
3. The dimension of the image of is .
4. The linear transformation ( f ) is