MAS 2103 Midterm: MAS 2103 FAU Exam 2S10
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Directions: make sure to show all necessary work to receive full credit. If you need extra space please use the back of the sheet with appropriate labeling: state the de nition for what it means for the set of vectors {v1, v2, , vp} is linearly inde- pendent. [be sure to include the correct quanti ers. : let t : rn rm be a function. State the de nition for what it means for t to be a linear transformation. 3. (a) suppose f : x y is a function. State the de nition for what it means for f to be one-to-one. (b) suppose f : x y is a function. State the de nition for what it means for f to be onto. Exam 2-math 3320: suppose t : rm rn is a linear transformation. Prove that t is one-to-one if and only if. T x = 0 has a unique solution.
