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03(81) (5 points) If T : R2 ) 133(k) is a linear transformation such that there is exactly one vector x E R2 such that TX = l + x + x2, must T be injective'? If so. give a proof. If not, give a counterexample . 1- Drag and drop your files or click to browse... 03(b) (5 points) If we remove the assumption that T is a linear transformation and simply assume T : R2 > P2011) is a tunction such that there is exactly one vector X E R2 such that T3: = 1 + x + x2. must T be injecve'? If so, give a proof. If not, give a counterexample. 1- Drag and drop your files or click to browse