Can we calculate the roots of polynomials with matrix coefficients?

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Benson Gou
Benson Gou on 30 Aug 2019
Answered: Nikhil Sonavane on 6 Sep 2019
Dear All,
I have a polynomial which has matrix coefficients. For example, I have the following equation:
[1 0;0 1]*[x_1^2; x_2^2] + [2 0;0 2]*[x_1; x_2] + [1 0; 0 1] = [0; 0]
It is obvious that that solution is x_1 = -1; x_2 = -1.
But if the coefficient matrices are general, how can we obtain the solution in Matlab?
Thanks a lot.
Benson Gou
Benson Gou on 30 Aug 2019
Yes, the coefficient matrces are Not necessraily diagonal matrices. Those matrices could be a very gerneal matrix. However, all of them are square matrices.
Thanks a lot.

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Answers (1)

Nikhil Sonavane
Nikhil Sonavane on 6 Sep 2019
You can use solve function to solve the system of equation in two variables. You may refer to its documentation for more information.


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