Let be an matrix and : What is a necessary and sufficient condition for f to be injective. And surjective?
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Originally Posted by gotmejerry Let be an matrix and : What is a necessary and sufficient condition for f to be injective. And surjective? I'ii give you the answer, and you will try to explain me why is that... injective iff surjective iff
Can you give me a bit more hint where to start?
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?
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