Question: Linear Algebra : Question 3. Let V be the set of 2 x 1 matrices, and define a mapping F : V - V by

Linear Algebra :

Question 3. Let V be the set of 2 x 1 matrices, and define a mapping F : V - V by matrix multiplication: (a) Is F a linear mapping? Justify your answer. (b) Is F a one-to-one mapping? Justify your answer. (c) Is F an onto mapping? Justify your answer. (d) Does F have an inverse? If yes, find the inverse. If not, explain why not. -1- -+

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