Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...
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B,c
your work.
1. Determine whether each of the following sets is a basis for P2. Justify your answer in
each case. (
A = {1+t,t+t?}
i.
is linerly inde ponglent
i ndle
basis for Pa.
B = {t? + 7,2t - 3,t + 5, t2+t+1}
pandlent
Sa
A
forms
ii.
B = {1-t,-1+2t?, 1– 2t + t?}
ii.
2.
Determine whether the set spans all of M2. Justify your answer with your work and/or
written statements.
品
Transcribed Image Text:your work. 1. Determine whether each of the following sets is a basis for P2. Justify your answer in each case. ( A = {1+t,t+t?} i. is linerly inde ponglent i ndle basis for Pa. B = {t? + 7,2t - 3,t + 5, t2+t+1} pandlent Sa A forms ii. B = {1-t,-1+2t?, 1– 2t + t?} ii. 2. Determine whether the set spans all of M2. Justify your answer with your work and/or written statements. 品
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