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. I attached the question and answer 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 relationshipbetween them.

Answered: Image /qna-images/answer/6def7255-c144-4aeb-95e5-21e6ea6d04c9.jpg

Answered: 5.6. Are the polynomials 1-2x+3x²,…

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 56E

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Question

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.

I attached the question and answer

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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