Is there any way to represent symbolic variables as I write from left to right?

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As you know in Matrix manipulation you're not allowed to change the order of Matrix. for example AB # BA (the commulative law is usually broken).
I was wondering if there was a way to represent the below matrix multiplication?
How can I modify this simple code to output the correct matrix ruls? ie change (BC/A) to (C/A)*B
syms I A B C D
sympref('MatrixWithSquareBrackets',true);
E=[1 0 ; -C/A 1]
E = 
F=[A B ; C D]
F = 
X=E*F
X = 
Thanks a bunch!

采纳的回答

Paul
Paul 2022-2-16
Since R2021a, one can define symbolic matrices. I haven't really used them too much and so don't know how to get any further than what is shown below. I'm surprised Matlab won't carry out the multiplication of the block matrices. Maybe there is another command that will do so.
syms I [2 2] matrix
syms A [2 2] matrix
syms B [2 2] matrix
syms C [2 2] matrix
syms D [2 2] matrix
E = [I zeros(2);-C*inv(A) I]
E = 
F = [A B;C D]
F = 
G = E*F
G = 
  5 个评论
Walter Roberson
Walter Roberson 2022-2-16
You cannot. Block operations like that are not supported.
Perhaps I should not say "cannot", but rather "no method is provided". There might hypothetically be some way involving using mapSymType or similar operations.
Paul
Paul 2022-2-18
编辑:Paul 2022-2-19
That's too bad that block matrix multiplication isn't supported. Maybe that's coming in a future release.
It would also be cool if the identity matrix and the zero matrix could be created as special symmatrix constants with specified dimensions to be used in equations such as above.

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