How to tell solver that symbols are matrices

If you're using release R2021a or later and have Symbolic Math Toolbox, create a symbolic matrix variable using the syms or symmatrix functions. See the Release Notes for more information.

syms A [3 3] matrix

syms B [3 3] matrix

y = A*B-B*A % not necessarily 0

y =

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Ahmet Parker 2021-5-2

Thank you very much. I have a tah license for R2021a

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Answer 2

John D'Errico 2021-5-2

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https://ww2.mathworks.cn/matlabcentral/answers/819455-how-to-tell-solver-that-symbols-are-matrices#answer_689865

编辑：John D'Errico 2021-5-2

在 MATLAB Online 中打开

A = sym('a',[2,2])

A =

As you can see, A is a 2x2 matrix.

B = rand(2,2);
X = rand(2,2);
Asol = solve(A*X == B,A)
Asol = struct with fields:
    a1_1: [1×1 sym]
    a2_1: [1×1 sym]
    a1_2: [1×1 sym]
    a2_2: [1×1 sym]

So now, for example, we see a1_1 is

Asol.a1_1

ans =

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Ahmet Parker 2021-5-2

Sir thank you for the answer. I know this method. However I am trying to get results in terms of a and b since I am trying to find a formula in terms of a and b, not a1_1 and b1_2 in example.

Ahmet Parker 2021-5-2