The matrix of a linear transformation
I would to have a second opinion and assistance on the following:
Let there be a linear transformation going from R^3 to R^2, defined by:
T(x,y,z)=(x+y,2z-x) find the transformation matrix if base 1: < (1,0,-1) ,
(0,1,1) ,(1,0,0)> , base 2 : < (0,1),(1,1)> . An attempt at a solution
included calculating the transformation on each of the bases in R^3, (base
1) and then these vectors, in their column form, combined, serve as the
transformation matrix, given the fact they indeed span all of B1 in B2.
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