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If B is the standard basis of the space P3 of polynomials, then let B = {1,t,t,tº). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1+31²-1³, t+21³, 1+t+31² Write the coordinate vector for the polynomial 1 + 3t2 - 1³. (1,0,3,-1) Write the coordinate vector for the polynomial t + 2t³. (1.1.3.0)

If B is the standard basis of the space P3 of polynomials, then let B = {1,t,t,tº). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1+31²-1³, t+21³, 1+t+31² Write the coordinate vector for the polynomial 1 + 3t2 - 1³. (1,0,3,-1) Write the coordinate vector for the polynomial t + 2t³. (1.1.3.0)

Advanced Engineering Mathematics
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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If B is the standard basis of the space P3 of polynomials, then let B = {1,t,t^,tº). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1+31²-1³, t+21³, 1+t+31² Write the coordinate vector for the polynomial 1 + 3t² - 1³. (1,0,3,-1) Write the coordinate vector for the polynomial t + 2t³. (1.1.3.0) ←
Transcribed Image Text:If B is the standard basis of the space P3 of polynomials, then let B = {1,t,t^,tº). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1+31²-1³, t+21³, 1+t+31² Write the coordinate vector for the polynomial 1 + 3t² - 1³. (1,0,3,-1) Write the coordinate vector for the polynomial t + 2t³. (1.1.3.0) ←
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