Hello there, I am currently tackling this Linear Algebra question and I'm struggling to get a grasp on it.
So far I have figured out a) using a theorem from my notes that says that addition is associate and multiplication is distributive and hence I can split:
$$T(x^2 - 2x + 1)= T(x^2)-2T(x) + 1$$
And achieve through substitution:
$$T(x^2 - 2x +1)= 3x^2 - 5x - 1$$
And here is where I start to struggle.
Any pointers/help would be greately appreciated.