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  3. 2 show that the straightline y 5x 3...

Question: 2 show that the straightline y 5x 3...

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2) show that the straight-line y = 5x + 3 in R2 is not a subspace of R. The points on the line can be considered equivalent to vectors if we identify a point with coordinates (x, y) with the vector pointing from the origin to the point (x, y), that is the vector (y). Then we can use the same vector addition and scalar multiplication as for regular vectors of R. (note: for a-b, a subspace is defined as the following: A subspace M of a vector space V over F is a 1. nonempty subset of V that is 2. closed to vector addition and 3. closed to scalar multiplication) a) Use a counterexample to show that condition 2 of the definition for subspace fails b) Use a counterexample to show that condition 3 of the definition for subspace fails.

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