Question

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

Answer 1

linear algebr, be more specific.

Answer 2

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

Answer 3

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

Answer 4

nomenclature aside, how is it found?

Answer 5

you're given two bases? what are they?

Answer 6

it depends, i just need to know the general procedure

Answer 7

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]...

Answer 8

perfect thanks bruh

Answer 9

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

Answer 10

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