How to tell solver that symbols are matrices

Hi,

I want to solve an equation which involves matrices. I could not tell matlab the variables are matrices. I need something like

a=matrix(a,[n1,n2]);

b=matrix(b,[n3,n4]);

where n1 n2 n3 n4 are dimensions of matrices then I want to solve

solve(a+b*a^2==2b,a) (This equation is not the real equation, my equation is very long and I have more than a and b variables (lots of variables)

a and b are symbolic meaning

syms a b

Thanks

Answer 1

[Steven Lord]

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 = 

[Ahmet Parker]

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

Answer 2

[John D'Errico]

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 = 

[Ahmet Parker]

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]

my equation and solution must obey matrix algebra rules