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(Solved): Are the following functions linear? If so, find its matrix. If not, give a counterexample. (a) The ...



Are the following functions linear? If so, find its matrix. If not, give a counterexample.
(a) The addition operation \( +: \

Are the following functions linear? If so, find its matrix. If not, give a counterexample. (a) The addition operation . (b) The multiplication operation . (c) The coordinate swap , where . (d) The averaging operation , taking a list of numbers to their average (arithmetic mean). (e) The minimum operation .


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(a) The linear function R2->R2 is represented by the addition operation +. The identity matrix, indicate
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