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5.6. Are the polynomials 1-2x+3x², 2+x-x², 1-2x+x² linearly independent in the vector space P₂? If not find an explicit non-trivial linear relationship between them.

5.6. Are the polynomials 1-2x+3x², 2+x-x², 1-2x+x² linearly independent in the vector space P₂? If not find an explicit non-trivial linear relationship between them.

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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can you please do this the matrix way because I need it to be solved the matrix way this entire problem has to be done in matrix form.

 

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5.6 Yes, independent.
Transcribed Image Text:5.6 Yes, independent.
5.6. Are the polynomials 1-2x+3x², 2+x-x², 1-2x+x² linearly independent. in the vector space P₂? If not find an explicit non-trivial linear relationship between them.
Transcribed Image Text:5.6. Are the polynomials 1-2x+3x², 2+x-x², 1-2x+x² linearly independent. in the vector space P₂? If not find an explicit non-trivial linear relationship between them.
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