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## anonymous 5 years ago Find the change of coordinates matrix from B = [3,2,8;-1,0.-2;4,-5,7] to the standard basis in R^3

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1. anonymous

If you have two bases, B and B' in R^n, then the transition matrix, P^(-1) from B to B' can be found by using Gauss-Jordan elimination on the n x 2n matrix, $[B':B] \rightarrow [I_n:P^{-1}]$Since you're moving from B to I_3, you're starting with$[I_3:B]$which is in the form$[I_3:P^{-1}]$already. So the change of coordinates matrix would be B.

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