## Can we calculate the roots of polynomials with matrix coefficients?

Benson Gou

### Benson Gou (view profile)

さんによって質問されました 2019 年 8 月 30 日

### Nikhil Sonavane (view profile)

さんによって 回答されました 2019 年 9 月 6 日
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

### the cyclist (view profile)

30 Aug 2019
When you say the coefficient matrices are "general", do you mean that they are not necessarily diagonal?
Benson Gou

### Benson Gou (view profile)

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.
Benson

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Nikhil Sonavane

### Nikhil Sonavane (view profile)

님의 답변 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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