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Hox to justify a Basis of R¨2 vectorial space

Justify that 2 vectors (1,1) and (1,2) are an R² base; How to write calculations correctly ?<x, y> = lambda*<1, 1> + mu*<1, 2>: solve({lambda+mu=x,lambda+2*mu=y},{lambda,mu}): <x,...

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Cyclic polynomials.

Is there some basis containing polynomials of the form x[1]^p*x[2]^q+x[2]^p*x[3]^q+x[3]^p*x[1]^q, (p,q posint)? Are there known relationships between these?Note: these are not the symmetric polynomials.

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Vector spaces from sets

Hi! I'm new to Maplesoft. I would like to use it for my research. However, in order to do so, i have to construct an n-dimensional vector space, with vectors of the form A_1*B, A_2*B, ..., A_k*B, where...

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How to create orthonormal triads with "Physics:-Vectors"

Hello, I recently discovered the "Physics" package wich provides tools for manipulating abstract vectors (non-component). In the "Physics:-Vectors", an orthonormal basis (i,j,k) is available and my...

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How can we assign the values of basis vectors resulted from PlanePlot commend?

I would like to assign the values of basis vectors which are calculated by PlanePlot. Is there anyone who knows how to use them or how to imitate the...

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Problem in maple built in FGb method of calculating Groebner basis

When I am usingPolynomialdeal package:sys:=[p31,p32,p33];as in the end of the post. (for one to reproduce) `J := PolynomialIdeal(sys, characteristic = p)`  and calculate the corresponding Groebner...

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