Linear Algebra: Linear mapping

[bry32321]

Suppose a linear transformation is defined by f: (R^2)->R, if possible find an example for linear transformations that are

A.)Linear and surjective
B.)Linear and not surjective
C.)Not linear and surjective
D.)Not linear and not Surjective

Any feedback would be greatly appreciated. Thank you!

 

[daon2]

This question is not hard at all. It is designed to make you think a little bit. Giving you an answer wont exactly benefit you. Why not reply with the definitions of what linear and surjective mean as well as your thoughts and/or attempts for the questions.

 

[bry32321]

I ended up figuring it out and forgot to check back on this post, but thank you!