Can we calculate the roots of polynomials with matrix coefficients?

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

[the cyclist]

When you say the coefficient matrices are "general", do you mean that they are not necessarily diagonal?

[Benson Gou]

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.

Benson

Answer 1

[Nikhil Sonavane]

You can use solve function to solve the system of equation in two variables. You may refer to its documentation for more information.