Question

Show that the following are not vector spaces: (a) The set of all vectors [x, y]  in R...

  1. Show that the following are not vector spaces:


    (a) The set of all vectors [x, y]  in R^2 with x ≥ y, with the usual vector addition and scalar multiplication.

  2. ------------------------------------------------[a b]

  3. (b) The set of all 2×2 matrices of the form [c d] in where ad = 0, with the usual matrix addition and scalar multiplication.

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Answer #1

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