Question

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.

Answer 1

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.

Step-by-step explanation: