Linear Algebra/The matrix of linear T on R^3 defined as T(x, y,z)= (2y +z,x- 4y, 3x) wrt R^3 ?

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show that the mapping T:R³→R² defined as T(x,y,z)=(z,x+y) is a linear transformation.show that the mapping T:R³→R² defined as T(x,y,z)=(z,x+y) is a linear transformation.