Which of the following function t:r2-r2 is not a linear transformation

Which of the following function t:r2-r2 is not a linear transformation

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  1. Answer:

    = r(t, s,1 + t + s) = rT(v) and so T does not preserve scalar multiplication: hence it is not a linear transformation. … Find the matrix corresponding to the linear transformation T : R2 → R3 given by T(x1, x2)=(x1 −x2, x1 + x2, x1).

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