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Mathematics 28 Online
OpenStudy (anonymous):

Let T:R^3>R^4 be the linear transformation given by the rule T(x,y,z) = (3x+y-3z, y, x+y-z, -x+y+z) Find the matrix A that represents T relative to the ordered bases B={(1,1,1),(1,1,0),(1,0,0)} and B'={(1,0,0,0),(0,1,0,0),(0,0,1,1),(0,0,1,2)} of R^3 and R^4 respectively

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