Generate random linearly independent polynomials on MATLAB -

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i create set of k random linearly independent polynomials of m-th order on matlab. came across this question on stackoverflow not sure of linear independence; , not looking make binary mentioned in referred question.

i tried using:

p = rand(k,m);

will give me k random linearly independent polynomials of m-th order?

you can use numerical properties of orthogonal decomposition matrices linear independence. 

m = 10; f = rand(m); f = f + f';  [q,~] = qr(f); p = q'*diag(rand(1,m))*q;

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