True or false?
If T: ℙ8(ℝ) → ℙ8(ℝ) is defined by T(p) = p', so exists a basis of ℙ8(ℝ) such that the matrix of T in relation to this basis is inversible.
The Attempt at a Solution
So i think that my equations is of the form:
A.x = x'
hence A is non-singular and therefore is inversible. But my exercise anwser say the opposite.
Could somebody elucide me?
P.s: (sorry for bad english, I'm from Brazil and still learning it.)