(5 points) Let V be a vector space. Show that -u is the unique vector in V such that u + (-u) = 0. State the axioms of vector space you used.
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Text: 1. Vector Spaces Determine which of these are vector spaces. Explain why O1 why nol . (a) The set of all solutions of the homogeneous linear equations Ax = 0.(b) The set of all solutions of the inhomogeneous linear equation Ax b = 0 where b ≠ 0.(c) Let V be the set of positive real numbers, and for any real number considered scalar) and any numbers u and v (considered to be vectors) in V, define the operations (analog of vector addition) and * in V (analog of scalar multiplication) to
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