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Question: How to calculate symbolic formulas including matrices algebraically?

I know the power of Maple for exact symbolic and numeric computing. With Maple, we can calculate symbolic formulas expressed with scalar values such as x, y, z, and so on. For example, >> solve(x+z+1=0,x); x=-z-1 However, I want to calculate formulas including matrices algebraically, too. I’ll show an example of my ideal result; >> solve(A*x=b,x); x=A^-1*b or x=(A^T*A)^-1*A^T*b In the example above, I assume A is a matrix, and x, b are vectors. “A^-1” means the inverse of the matrix A and “A^T” means the transpose of the matrix A. I want to keep “A” as a matrix and get a result like the equation which is often written in well-known textbooks of linear algebra. I searched the function lists of Maple in its help, but I couldn’t find the function I wrote here. I need your help. Excuse if my English is bad.
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