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5 Let V be the set of all ordered pairs of real numbers a y...

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Algebra

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5 Let V be the set of all ordered pairs of real numbers a y where a and y are both nonzero Consider the following addition and scalar multiplication operations on u and v 01 02 u v 1 v ku u k u k Although V is not a vector space each vector in V does have a negative as defined in the axioms of a vector space If u is in V what is the negative of the vector u a u b u 1 u 1 c d u 1 2 1 e u 1 1

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