Determine whether each of the following sets is a basis for P2. Justify your answer in each case i. 1. A = {1+t,t+ t2} (ト +) =0 =01(2 =0 is lineorly forms inde pendent ba sis for Pz, B = {t? + 7,2t - 3,t + 5, t2 + t + 1} A ii. iii. B = {1 - t,-1+ 2t?, 1- 2t + t²}
Determine whether each of the following sets is a basis for P2. Justify your answer in each case i. 1. A = {1+t,t+ t2} (ト +) =0 =01(2 =0 is lineorly forms inde pendent ba sis for Pz, B = {t? + 7,2t - 3,t + 5, t2 + t + 1} A ii. iii. B = {1 - t,-1+ 2t?, 1- 2t + t²}
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 33EQ
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