- #1
5kold
- 13
- 0
Homework Statement
Show that if the matrix of a linear transformation
"multiplication by a" is "A" then a is a root of the characteristic polynomial for A.
Also, I am not sure how to obtain the monic polynomial of degree 3 satisfied by
2^(1/3) and by 1+2^(1/3)+4^(1/3).
The Attempt at a Solution
It seems obvious but I am not sure how to go about it. I can't find anything in my book about it. Once you have the matrix form, can't you just plug in the numbers above to get the polynomial equation?
Thank you guys. This is my first course in higher mathematics.