How do you compute the transition matrix X[T]X?

[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 $$T(v_2)=av_1 + bv_2$$?

Thanks in advance...

 

[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'?

 

[Artusartos]

Hey Artusartos.

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

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 $$T(v_2) = av_1 + bv_2$$

 

[chiro]

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

 

[Artusartos]

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

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...

 

[chiro]

I'm pretty sure it is just an example.

 

[Artusartos]

I'm pretty sure it is just an example.

Ok thanks :)