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Question: Solving symbolically matrix equations

Question:Solving symbolically matrix equations

student_1 305
matrix linear-algebra abstract
May 09 2019
0

-Can we solve symbolically matrix equations where the matrices are ungiven by MAPLE?

For a simple example;

Let A.B+2B=C.

where A nxn is matrix and B, C and nx1 matrices. (all matrices are ungiven)

Question: Find symbolically matrix B in terms of C and A?

My try:

We can quickly calculate Matrix B by hand.  We have (A+2I)B=C and so B=(A+2I)^(-1).C   ( where (A+2I) is invertible and I is nxn identity matrix)

Briefly: Can we do for the more complex and difficult equations by MAPLE? 
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