finding T(v) relative to B and B'
1. The problem statement, all variables and given/known data
find T(v) using the matrix relative to B and B' T(x, y, z) = (2x, x + y, y + z, x + z) v = (1, 5, 2) B = { (2, 0, 1), (0, 2, 1), (1, 2, 1) } B' = { (1, 0, 0, 1), (0, 1, 0, 1), (1, 0, 1, 0), (1, 1, 0, 0) } 2. Relevant equations 3. The attempt at a solution T(2, 0, 1) = (4, 2, 1, 3) = 4(1, 0, 0, 1) + 2(0, 1, 0, 1) + 1(1, 0, 1, 0) + 3(1, 1, 0, 0) = (8, 5, 1, 6) T(0, 2, 1) = (0, 2, 3, 1) = (4, 3, 3, 2) T(1, 2, 1) = (2, 3, 3, 2) = (7, 5, 3, 5) A = 8 4 7 5 3 5 1 3 3 6 2 5 Av = (2, 0, 8, 6) but if the person I am checking against is right, the answer should be (2, 4, 3, 3) I am confused as to if I can even use the method I am using in this case. Thanks in advance 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 
Re: finding T(v) relative to B and B'
that's a matrix A btw, everything that was indented got shifted.

Re: finding T(v) relative to B and B'
Quote:
Then [tex]\begin{bmatrix}a \\ b\\ c\\ d\end{bmatrix}[/tex] will be the first column of the matrix. Quote:

Re: finding T(v) relative to B and B'
ok that makes sense...and for the vector v = (1, 5, 2), do I need to solve a system like
(1, 5, 2) = a(2, 0, 1) + b(0, 2, 1) + c(1, 2, 1) and use (a, b, c) as my v and multiply that by A? 
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