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5 September, 14:51

Determine if the given set is a subspace of set of prime numbers P 9. Justify your answer. The set of all polynomials of the form p (t) equalsat Superscript 9 , where a is in set of real numbers R. Choose the correct answer below. A. The set is not a subspace of set of prime numbers P 9. The set is not closed under multiplication by scalars when the scalar is not an integer. B. The set is a subspace of set of prime numbers P 9. The set contains the zero vector of set of prime numbers P 9 , the set is closed under vector addition, and the set is closed under multiplication by scalars. C. The set is not a subspace of set of prime numbers P 9. The set does not contain the zero vector of set of prime numbers P 9. D. The set is a subspace of set of prime numbers P 9. The set contains the zero vector of set of prime numbers P 9 , the set is closed under vector addition, and the set is closed under multiplication on the left by mtimes9 matrices where m is any positive integer.

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  1. 5 September, 15:08
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    Answer: C. The set is not a subspace of set of prime numbers P 9. The set does not contain the zero vector of set of prime numbers P 9.
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