How to "typedef" a matrix in C -

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While defining new data types in C, anyone can 

  typedef Double BYTE;

So it is possible to do later 

  BYTE length;

etc.

I would like to do something like this 

  typedef double [30] [30] [10] matrix;

So much later I do 

  Macmatics AA [10];

So I have 10 matrix types of matrix, and I can access them through AA [0], AA [1], etc.

Anyway, doing this with GNU, I get an error like the C compiler 

  error: '[' token

There is a possibility of unauthorized-IDs expected before or how can I achieve my purpose?

Thanks

Follow the idea: 

  typed double double matrix [30] [30] [10];

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