Let defined by for all .
1. Prove that is linear.
2. Calculate the basis of the null-space of and of the image of .
How do I even prove that is linear?
Thanks NonCommAlg!
So to prove that f is linear you have to show that the elements in f are scalar multiples of each other? As in
And the null space are derived by taking the coefficients of f so that:
Wow. That really did help. Sometimes, I feel like stunned rabbit when confronted with new terminology/ presentation of a question . Thank you very very much!
Can you recommend a good text book, for linear algebra?