# Finding a transition matrix

1. Mar 4, 2013

### thatguythere

1. The problem statement, all variables and given/known data
Let B = {(1,1,1),(1,2,2),(2,3,4)} be an ordered basis of R3, and let B be the standard basis of R3.

Find the transition matrix from B to B and use it to find the coordinates of (1,2,3)T with respect to B.

2. Relevant equations

3. The attempt at a solution
Is it correct to apply the following?
u1 = 1(u1) + 1(u2) + 1(u3)
u2 = 1(u1) + 2(u2) + 2(u3)
u3 = 2(u1) + 3(u2) + 4(u`3)

2. Mar 5, 2013

### Fredrik

Staff Emeritus
How is the transition matrix from B to B' defined? If it's defined the way I think, you should express the primed basis vectors in terms of the unprimed, not the other way round.