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
injective
surjective
bijective
none of these
You can earn partial credit on this problem.