Let T : R3 → R³ be the transformation that projects each vector x = (x1, X2, X3) onto the plane x2 = 0, that is, T(¤1, T2, T3) = (x1,0, x3). %3D (a) Show that T is a linear transformation. (b) Find the matrix representation of T. (c) Is T one-to-one? Is T onto? Justify your answers.

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