PDA

View Full Version : Help With Algebraic Extensions/Bases


audiowize
May25-09, 11:21 PM
1. The problem statement, all variables and given/known data
Determine the basis for {n x n matrices with rational elements}

Determine the basis for {a+b*3.5 : a,b in Q(3.5 }


3. The attempt at a solution

I am not super sure about the basis for an n x n matrix. I know the dimension will be n-squared, and how the elements will look, but actually sitting and writing out what the basis is seems tricky, or I am missing something....

On the second question, I think the basis is {1,3.5}, but I would love some confirmation...

Ah, the joys of Memorial Day homework! At least I have until Wednesday...

Thanks in advance!