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 :)