I am learning Linear Algebra for few months in school, and I not understand how polynomials works in Linear spaces. Sorry if my nomenclature is different from english one, because I am translating it from Czech.
I have two basis defined as so:
B = (x^2, x, 1)
C = (x^2 + 3x − 2, x − 2, 1)
I know how to convert these to matrices but I don't know if its right
C will be:
| 1 0 0|
| 3 1 0|
|-2 -2 1|
B will be:
| 1 0 0|
| 0 1 0|
| 0 0 1|
Is this right? Or I must compute with polynomials different way