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Question: How to generate a matrix given a certain lenght and a polynomial?

Question:How to generate a matrix given a certain lenght and a polynomial?

Felipe_123 45 Maple 2017
polynomial matrix coefficients
October 27 2020
1

Hi friends!

I have the following problem.

I'm trying to generate a matrix given a certain lenght n and a polynomial g(x) of degree r as follows:

If n=10, g(x)=x^4+3x^3+x^2+2x+1 and r=degree(g(x))=4, then the resulting matrix will be

 

 

 

 

 

i.e. a matrix with 10 columns, n-r=6 lines, and whose inputs are the coefficients of the polynomial, as follows:

Any help will be very appreciated.

Thank you!
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