Precalculus

[Jenny Rocky]

Let A = {−1, 0, 1, 2}.
Find a bijective function : A → A with the property that
f + idA is also a bijective function A → A.

 

[Steven G]

Nice problem. What have you tried? Where are you stuck? If you do not show any work then we do not know how to help you!

If you read the posting guideline and followed them you would have received help by now.

 

[Steven G]

There are not that many bijective functions from A to A. If you have now idea how to proceed in a clever fashion then look at all the bijective function to see which have the properties you want. This will give you your answer. If you want, then you can look at why some functions had the wanted property and maybe see how you could have proceeded more efficiently. This is how you learn math!

I am wondering what you mean by f+ IA?

 

[Deleted member 4993]

There are not that many bijective functions from A to A. If you have now idea how to proceed in a clever fashion then look at all the bijective function to see which have the properties you want. This will give you your answer. If you want, then you can look at why some functions had the wanted property and maybe see how you could have proceeded more efficiently. This is how you learn math!

I am wondering what you mean by f+ IA?

@Jomo - where did you see that?

 

[Steven G]

@Jomo - where did you see that?

Id = I = identity matrix