Linear Algebra Change Matrices: Seems too simple

[jumbogala]

Homework Statement

EDIT: There turns out to be a problem with the question, that's why it wasn't working. If anyone sees it they're just going to get confused, so I'm taking it off.

Homework Equations

The Attempt at a Solution

 

[radou]

Never heard of "CA(v)", but if it's what you defined it to be, this looks correct.

 

[jumbogala]

Oh, well maybe I should give the definition! That probably would have been a good idea, haha.

A is an ordered basis in Rn and A = {e₁, ... e_n}

v is a vector in Rⁿ, and v = v₁e₁ + ... + v_ne_n for some numbers v¹ ... vⁿ.

Then C_A(v) = [v₁ ... v_n]^T.