Linear Algebra Maple Problem: Finding Basis Coordinates in a Vector Space

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SUMMARY

The discussion focuses on calculating the coordinates of a vector V in a given basis using Maple. The user initially struggled to find the appropriate command in Maple's linalg package, typically accustomed to MATLAB or Octave. The solution involves creating a matrix M from the basis vectors and using the matrix inverse to compute the coordinates as inv(M)V. The user successfully resolved the issue by recalling fundamental concepts from elementary linear algebra.

PREREQUISITES
  • Understanding of vector spaces and basis vectors
  • Familiarity with matrix operations, specifically matrix inversion
  • Basic knowledge of Maple software and its linalg package
  • Elementary linear algebra concepts
NEXT STEPS
  • Learn how to perform matrix operations in Maple, including inv() function
  • Explore the linalg package in Maple for additional linear algebra functionalities
  • Study the differences between MATLAB and Maple for linear algebra tasks
  • Review elementary linear algebra principles, focusing on vector coordinates and basis transformations
USEFUL FOR

Students and professionals in mathematics, particularly those studying linear algebra, as well as users transitioning from MATLAB or Octave to Maple for computational tasks.

bartadam
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say I have a set of basis vectors of a vector space v1, v2...vn and some element of the vector space, say V

What command do I use in maple to calculate the coordinates of V in this basis? I can't find one in the linalg package
 
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I don't know the commands in maple (this is something I'd usually do in MATLAB or octave) but the problem is just one of matrix inverse. If you make a matrix M, with columns comprising the basis vectors, then the basis cordinates of V are simply inv(M)V
 
uart said:
I don't know the commands in maple (this is something I'd usually do in MATLAB or octave) but the problem is just one of matrix inverse. If you make a matrix M, with columns comprising the basis vectors, then the basis cordinates of V are simply inv(M)V

Thanks, yeah it dawned on me sorted it. Forgot my elementary linear algebra.

Thank for your reply.
 

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