Let be an matrix and : What is a necessary and sufficient condition for f to be injective. And surjective?

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- November 27th 2011, 05:49 AMgotmejerryWhen will be this surjective or injective?
Let be an matrix and : What is a necessary and sufficient condition for f to be injective. And surjective?

- November 27th 2011, 06:54 AMAlso sprach ZarathustraRe: When will be this surjective or injective?
- November 27th 2011, 08:04 AMgotmejerryRe: When will be this surjective or injective?
Can you give me a bit more hint where to start?

- November 27th 2011, 10:20 AMgotmejerryRe: When will be this surjective or injective?
For injectivity I did. It is injectien for every f(x)=f(y) ---> x=y.

So if the rank is n it can only be zero if

What should i do with the surjective part?