- #1
fattycakez
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Homework Statement
The Matrix P =
1 0 3
1 1 0
0 3 1
is the transition matrix from what basis B to the basis B' = {(1,0,0),(1,1,0),(1,1,1) for R3?
Homework Equations
[v]B=P[v]B'
The Attempt at a Solution
I'm looking at a theorem in my book that says
" if P is the transition matrix from a basis B' to a basis B for a finite-dimensional vector space V, then P is invertible and P-1 is the transition matrix from B to B'. "
So does the inverse of P give the basis B? Please tell me how wrong I am :)