Suppose given vector space V = P_3, given four polynomials in image. Can we use them as basis set for V? If so, find the coordinates under the basis set for the given equation in the image Problem 3. Suppose the vector space V = P3, given the following fourpolynomials1+13, 1+t, -t+2t2, 1+12.Can we use them as a basis set of V? If so, find the coordinates of f(t)3+t+3t2+2t3 under this basis set.=

Answered: Image /qna-images/answer/ca04b9de-5b60-40e2-b35b-2b36c603d387.jpg

Problem 3. Suppose the vector space V = P3, given the following four polynomials 1+13, 1+t, -t+2t2, 1+12. Can we use them as a basis set of V? If so, find the coordinates of f(t) = 3+t+3t2+2t3 under this basis set.

Problem 3. Suppose the vector space V = P3, given the following four polynomials 1+13, 1+t, -t+2t2, 1+12. Can we use them as a basis set of V? If so, find the coordinates of f(t) = 3+t+3t2+2t3 under this basis set.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 27E

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Question

Suppose given vector space V = P_3, given four polynomials in image. Can we use them as basis set for V? If so, find the coordinates under the basis set for the given equation in the image

Problem 3. Suppose the vector space V = P3, given the following four
polynomials
1+13, 1+t, -t+2t2, 1+12.
Can we use them as a basis set of V? If so, find the coordinates of f(t)
3+t+3t2+2t3 under this basis set.
=

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.

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