# How to factor a matrix by a list of symbolic variables

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Fernando 2014 年 10 月 21 日
コメント済み: Aleja Campo 2020 年 12 月 5 日
My problem is the following:
I have a 3x1 matrix of symbolic equations (let's call it Y) that I want to divide into two matrixes that we will call Phi and Theta. Phi will be a 3xn wide matrix, and Theta will be a nx1 column matrix. I have a list of variables that will be in the nx1 matrix, the rest will be in the Phi matrix, where Y = Phi*Theta.
Is there a way to factorize and build the matrixes programatically with the Symbolic Math Toolbox?
Thanks!
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Aleja Campo 2020 年 12 月 5 日
Hi
Yes I had the same problem, you can use the equationsToMatrix function
Best

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### 採用された回答

Bruno Pop-Stefanov 2014 年 10 月 22 日
Are the equations in Y linear in the variables in Theta? If yes, this is a simple linear system of equations, which you can solve symbolically with the linsolve function. Take a look at Solve a System of Linear Equations for an example.
If they are algebraic equations, you can try to use the solve function. Take a look at the example in Solve a System of Algebraic Equations.
In addition, you can have an overview of the equation-solving tools that Symbolic Math Toolbox provides in the documentation at:

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