Is the set of all polynomials p(t) in P, such that p(0) = 1 a subspace of Pn for all integers n ≥ 0. O Yes, it is a subspace of Pn for any integer n > 0. No, it is not a subspace of Pn for any integer n > 0.
Is the set of all polynomials p(t) in P, such that p(0) = 1 a subspace of Pn for all integers n ≥ 0. O Yes, it is a subspace of Pn for any integer n > 0. No, it is not a subspace of Pn for any integer n > 0.
Is the set of all polynomials p(t) in P, such that p(0) = 1 a subspace of Pn for all integers n ≥ 0. O Yes, it is a subspace of Pn for any integer n > 0. No, it is not a subspace of Pn for any integer n > 0.
Solve this linear algebra multiple choice question. Please show your wor, thank you.
Transcribed Image Text:### Polynomial Subspace Question
**Question:**
Is the set of all polynomials \( p(t) \) in \( \mathbb{P}_n \) such that \( p(0) = 1 \) a subspace of \( \mathbb{P}_n \) for all integers \( n \geq 0 \)?
**Options:**
- \( \circ \) Yes, it is a subspace of \( \mathbb{P}_n \) for any integer \( n \geq 0 \).
- \( \circ \) No, it is not a subspace of \( \mathbb{P}_n \) for any integer \( n \geq 0 \).
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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