If B is the standard basis of the space P3 of polynomials, then let B={1, t, t², t³}. Use %3D coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. (1– t)³, (2 – t)?, 3 – 1t- 21² + t³

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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If B is the standard basis of the space P3 of polynomials, then let B= {1, t, t, t°}. Use
%3D
coordinate vectors to test the linear independence of the set of polynomials below. Explain
your work.
(1 – t)3, (2 – t)², 3 – 1t- 2? + 13
...
Write the coordinate vector for the polynomial (1 - t)°, denoted p,.
P1
Transcribed Image Text:If B is the standard basis of the space P3 of polynomials, then let B= {1, t, t, t°}. Use %3D coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. (1 – t)3, (2 – t)², 3 – 1t- 2? + 13 ... Write the coordinate vector for the polynomial (1 - t)°, denoted p,. P1
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