Question

Determine if the given set is a subspace of P6. Justify your answer. The set of all polynomials of the form p(t) = at^6, where a is in R. Choose the correct answer below. A. The set is a subspace of P6. The set contains the zero vector of P6, the set is closed under vector addition, and the set is closed under multiplication by scalars. B. The set is not a subspace of P6. The set does not contain the zero vector of P6. C. The set is a subspace of P6. The set contains the zero vector of P6, the set is closed under vector addition, and the set is closed under multiplication on the left by m x 6 matrices where m is any positive integer. D. The set is not a subspace of P6. The set is not closed under multiplication by scalars when the scalar is not an integer.

          Determine if the given set is a subspace of P6. Justify your answer.
The set of all polynomials of the form p(t) = at^6, where a is in R.
Choose the correct answer below.
A. The set is a subspace of P6. The set contains the zero vector of P6, the set is closed under vector addition, and the set is closed under multiplication by scalars.
B. The set is not a subspace of P6. The set does not contain the zero vector of P6.
C. The set is a subspace of P6. The set contains the zero vector of P6, the set is closed under vector addition, and the set is closed under multiplication on the left by m x 6 matrices where m is any positive integer.
D. The set is not a subspace of P6. The set is not closed under multiplication by scalars when the scalar is not an integer.

Determine if the given set is a subspace of P6. Justify your answer.
The set of all polynomials of the form p(t) = at^6, where a is in R.
Choose the correct answer below.
A. The set is a subspace of P6. The set contains the zero vector of P6, the set is closed under vector addition, and the set is closed under multiplication by scalars.
B. The set is not a subspace of P6. The set does not contain the zero vector of P6.
C. The set is a subspace of P6. The set contains the zero vector of P6, the set is closed under vector addition, and the set is closed under multiplication on the left by m x 6 matrices where m is any positive integer.
D. The set is not a subspace of P6. The set is not closed under multiplication by scalars when the scalar is not an integer.

Added by Deborah R.

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