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How to convert a symbolic matrix into matrix polynomial

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Isaac
Isaac 2023-7-27
评论： Isaac 2023-7-27
I have a matrix with its elements as polynomials, such as the following N matrix. I was wondering whether it would be possible to convert it into a matrix polynomial expression like N0 + N1*x + N2*x^2? My idea is to retrieve the matrices N0, N1, N2. I would deeply appreciate any pointers regarding this. Thank you.
syms x
N = [1 5-3*x 0;0 1 5-3*x;1 0 x^2-5];

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回答（1 个）

VBBV
VBBV 2023-7-27
编辑：VBBV 2023-7-27
Ran in:
syms x
N = [1 5-3*x 0;0 1 5-3*x;1 0 x^2-5]
N = 
K = poly2sym(N,[x])
K = 
simplify(K)
ans = 
  2 个评论
VBBV
VBBV 2023-7-27
use poly2sym for converting to symbolic polynomial expressions
Isaac
Isaac 2023-7-27
Thank you for the reply, I suppose I have poorely worded my question. My intention was to decompse the N matrix into the following N0, N1, N2 matrices, such that N = N0 + N1*x + N2*x^2;
N0 = [1 5 0;0 1 5;1 0 -5]; N1 = [0 -3 0;0 0 -3;0 0 0]; N2 = [0 0 0;0 0 0;0 0 1];

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