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  3. 1 show that the straightline y 16x in r is...

Question: 1 show that the straightline y 16x in r is...

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1) show that the straight-line y 16x in R? is a subspace of R2 over the scalars of real numbers R. (Note: 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 (、). Then we can use the same vector addition and scalar multiplication as for regular vectors of R2.) (note: for a-c, 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) Show that condition 1 of the definition of subspace holds b) Show that condition 2 of the definition of subspace holds (for all vectors in general, not for just one example) c) Show that condition 3 of the definition for subspace holds (for all vectors and scalars in general, not for just one example)

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