Example of a linear transformation T: p4 -> R^4 thats onto

[sportlover36]

in my book it asks me to give an example of a linear transformation T: p4 -> R^4 that's onto. I have to prove that T is onto and a linear transformation...can someone give me some advice?

 

[Mark44]

Start with the definition of "onto."

 

[HallsofIvy]

Actually, start with giving a simple example of a linear transformation- you have to have the transformation before you can prove it is one-to-one!

Then use the definition of "onto".

 

[sportlover36]

im still confused

 

[Mark44]

Can you think of any transformation that takes a polynomial such as x^4 + 5x^3 - x^2 + 2x - 5 to a vector with four components?