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How to find the Elements of a Coefficient Matrix?

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ercan duzgun
ercan duzgun on 11 Dec 2020
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Answered: RUTUPURNA CHOUDHURYon 1 Sep 2021
How to find the matrix coefficients of an equation? For example think that we have an equation of "E=A+Ax^2+Bx+Cx+Cx^2+Ay+Ay^2+By^2". We might choose a row matrix of M=[1 x x^2 y y^2]' . In order to have E=N*M, what elements of N should be? (E is 1x1 matrix, M=5x1 matrix, N=1x5 matrix). (by using MATLAB symbolic toolbox)
Solution by hand:
E=(A)*x^0 + (B+C)*x^1 + (A+C)x^2 + (A)*y + (A+B)*y^2;
Therefore;
N=[A (B+C) (A+C) A (A+B)]; (The solution)
E=N*M=[A (B+C) (A+C) A (A+B)]*[1 x x^2 y y^2]' = A+Ax^2+Bx+Cx+Cx^2+Ay+Ay^2+By^2.

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Accepted Answer

Sai Veeramachaneni
Sai Veeramachaneni on 14 Dec 2020
Hi,
您可以利用 coeffs function to find coefficients of an equation.
Example-
symsA B C x y
E = + * x ^ 2 + B * x + x + C C * * x ^ 2 + y * + * y ^ 2 + B * y ^ 2;
[N,M]=coeffs(E,[x y])

More Answers (1)

RUTUPURNA CHOUDHURY
RUTUPURNA CHOUDHURY on 1 Sep 2021
How can we find the cofficient matrix from a non-linear equation ?
Note: Like equations to matrix command used for linear system of equatins. Like this what command used for non-linear equations?

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