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

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

Mathematics
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linear algebr, be more specific.
like, given two bases how do you find the change-of-bases matrix to change between them
that would be the transition matrix from b to b'.

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nomenclature aside, how is it found?
you're given two bases? what are they?
it depends, i just need to know the general procedure
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]...
perfect thanks bruh
[b':b] ---> [I;p^-1]
rref your augmented matrix b:b' and it gives you the identity matrix augmented with your transistion matrix (p^-1=transition matrix).

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