# Transition matrices

1. Jan 5, 2013

### Artusartos

I am a bit confused about the page that I attached...

I don't understand part (ii)...

How can you compute X[T]X? So why is $$T(v_1)=v_2$$ and $$T(v_2)=av_1 + bv_2$$?

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2. Jan 5, 2013

### chiro

Hey Artusartos.

Are you just trying to find the linear transformation given those properties of how v1 and v2 maps to v1' and v2'?

3. Jan 5, 2013

### Artusartos

Hi,

I'm not trying to find anything. I was just trying to undestand the page that I attached (Part ii)...I don't understand why they wrote $$T(v_1) = v_2$$ and $$T(v_2) = av_1 + bv_2$$

4. Jan 5, 2013

### chiro

I think (but am not certain) that this is just an example transformation.

5. Jan 6, 2013

### Artusartos

Oh...so are they just making that up to give an example? I thought they were deriving those equations from somewhere, and that's why I was confused...

6. Jan 6, 2013

### chiro

I'm pretty sure it is just an example.

7. Jan 6, 2013

Ok thanks :)