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## Homework Statement

True or false?

If T: ℙ

_{8}(ℝ) → ℙ

_{8}(ℝ) is defined by T(p) = p', so exists a basis of ℙ

_{8}(ℝ) such that the matrix of T in relation to this basis is inversible.

## Homework Equations

## 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.)

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