creating a coefficient matrix for a polynomial

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I have a function f(x) = a_0 +a1*x+a2*x^2+a3*x^3
I need to create a matrix such that
row 1 contains f(0) term as first element and other terms as 0 0 0
row 2 is coefficients of differentiation of f(x) at 0 which would be 0 1 0 0
row 3 is coefficients of f(x) at x = L i.e [1 L L^2 L^3]
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Walter Roberson
Walter Roberson 2020-3-23
The differentiation of f(x) at 0: f' would be a1+2*a2*x+3*a3*x^2 and evaluated at 0 that would be a1, not 1
Anyhow, go ahead and create the matrix; you have already given instructions on how you want to built it.
Perhaps the hint you need is: coeffs() ?

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Sai Veeramachaneni
Sai Veeramachaneni 2020-3-26
Adding to Walter comment you can also try creating required matrix leveraging syms , coeffs , diff.

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