hello. can you solve the questions below?Write the coordinate vector for the polynomial 1+6t^2-t^3Write the coordinate vector for the polynomial t+2t^3Write the coordinate vector for the polynomial 1+t+6t^2 If B is the standard basis of the space P3 of polynomials, then let B= {1,t,t,t}. Use coordinate vectors to test the linear independence of the set of polynomials below.Explain your work.1+ 6t? - t°, t+ 2t°, 1 +t+ 6t?

Answered: Image /qna-images/answer/13a1aab3-350d-4e29-86e8-4680984473d1.jpg

If B is the standard basis of the space P, of polynomials, then let B = {1,t,t,t}. Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1+ 6r? - r°, t+ 21°, 1 + t+ 6t?

If B is the standard basis of the space P, of polynomials, then let B = {1,t,t,t}. Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1+ 6r? - r°, t+ 21°, 1 + t+ 6t?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 32E

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Question

hello. can you solve the questions below?

Write the coordinate vector for the polynomial 1+6t^2-t^3

Write the coordinate vector for the polynomial t+2t^3

Write the coordinate vector for the polynomial 1+t+6t^2

If B is the standard basis of the space P3 of polynomials, then let B= {1,t,t,t}. Use coordinate vectors to test the linear independence of the set of polynomials below.
Explain your work.
1+ 6t? - t°, t+ 2t°, 1 +t+ 6t?

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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