If B is the standard basis of the space P3 of polynomials, then let B=(1,1,2,3). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1-71²-13, t+51³, 1+t-71² Meit 2 CI

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 44EQ
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If B is the standard basis of the space P3 of polynomials, then let B=(1,1,²,3). Use coordinate vectors to test the linear
independence of the set of polynomials below. Explain your work.
1-71²-1³, t+51³, 1+t-71²
Write the coordinate vector for the polynompial 1-71² - 1³.
0.000
Transcribed Image Text:If B is the standard basis of the space P3 of polynomials, then let B=(1,1,²,3). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. 1-71²-1³, t+51³, 1+t-71² Write the coordinate vector for the polynompial 1-71² - 1³. 0.000
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