# A simple application of a liner transformation

1. Oct 8, 2012

### trap101

Let T: P2(ℝ) --> P2(ℝ) be defined by T(p(x)) = p( x-1)

a) Find the matrix of T with respect to the standard basis of P2(ℝ)

Question: So I know how to do this for the most part, I'm just having a problem in terms of the constant 1 from the standard basis of {1, x , x2 from P2(ℝ). Applying the transformation to the constant 1; should i get a 0, or do I get the constant 1 back again?

Cheers

2. Oct 8, 2012

### micromass

Staff Emeritus
The constant 1 is actually the function

$$p:\mathbb{R}\rightarrow \mathbb{R}:x\rightarrow 1$$

From this, it is clear that indeed p(x-1)=1.

3. Oct 8, 2012

### trap101

all I needed to know. Thanks a lot.