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Question: Calculations With Matrix in Matrix

Question:Calculations With Matrix in Matrix

Neoklis Hadjigergiou 10 Maple
June 15 2010
2

I try to make calculation with matrix in matix for example

n1 >0 , n2 >0; n1 ,n2 unknow
matirx  A11 := matrix(n1,n1,[unknow variables ]);
matirx  A12 := matrix(n1,n2,[unknow variables ]);
matirx  A21 := matrix(n2,n1,[unknow variables ]);
matirx  A22 := matrix(n2,n2,[unknow variables ]);

A_big := matrix(n1+n2,n1+n2 , [[A11,A12],[A21,A22]]);

how i will sovle

A_big ^ (-1) ;

The wrong answer is
matrix([[A22/(A11*A22-A21*A12), -A12/(A11*A22-A21*A12)], [-A21/(A11*A22-A21*A12), A11/(A11*A22-A21*A12)]])

how i will solve the previews proplem.
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