(a) Let T be the transformation whose standard matrix is [1 3 -4 11 2 -3 0 A = 0 Lo 0 03. (1) Find a basis for the image of A. (2) Find a basis for the kernel of A. (3) Does T map R onto R³? Explain your reasoning. (4) Is T a one-to-one mapping? If not, find two different vectors u, v such that T(u) = T(v)? (Justify your answers).

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