Answered: V = {ax² + bx + 3|a, b ≤ R} ≤ P2.

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V = {ax² + bx + 3|a, b ≤ R} ≤ P2.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Write the sets as a span of the minimum number of vectors. If this is not a span and why?

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution

Step 1: Given.

Given: $V = \{a x^{2} + b x + 3 | a, b \in ℝ\} \subset ℙ_{2}$

To write: The given set as span of minimum number of vectors.

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