change of bases... I honestly don't know what's going on

Question

anonymous · Answer

linear algebr, be more specific.

anonymous · Answer

like, given two bases how do you find the change-of-bases matrix to change between them

anonymous · Answer

that would be the transition matrix from b to b'.

anonymous · Answer

nomenclature aside, how is it found?

anonymous · Answer

you're given two bases?  what are they?

anonymous · Answer

it depends, i just need to know the general procedure

anonymous · Answer

let b = {v1,v2,...vn} and b' = {u1,u2,...un} be two bases for R^n.  Then the transistion matrix from b to b' can be found by using Gauss-Jordan elemination on the n x 2n matrix [b':b]...

anonymous · Answer

perfect thanks bruh

anonymous · Answer

[b':b] ---> [I;p^-1]

anonymous · Answer

rref your augmented matrix b:b' and it gives you the identity matrix augmented with your transistion matrix (p^-1=transition matrix).