(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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).

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.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Matrix of a linear transformation HELP!

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