How can a given (4×4) matrix be copied from Maple to MATLAB?
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In Maple, you should be able to use the ExportMatrix command to produce a file (from numeric Matrices or Vectors) which Matlab can read.
Maple 15 and later allow for export to a binary file format that Matlab can read. Older versions such a 14, 13, etc could export with that command only to ASCII format files that Matlab could read.