Vector Space Axioms: Proving Axiom 1

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SUMMARY

The discussion focuses on proving Axiom 1 related to the addition of two general magic square matrices. The user is utilizing Maple software to perform calculations and has attached a PDF for reference. A key point raised is the commutative property of matrix addition, which holds true as the entries of the matrices are elements from a specific field, such as the real numbers. The user also expresses uncertainty regarding the correctness of their set notation.

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  • Understanding of matrix addition and properties
  • Familiarity with magic square matrices
  • Knowledge of set notation in mathematics
  • Proficiency in using Maple software for mathematical proofs
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  • Research the properties of magic square matrices in detail
  • Learn about the commutative property of matrix operations
  • Explore advanced set notation and its applications in proofs
  • Practice using Maple for mathematical proofs and formatting
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Dustinsfl
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Since I can't copy and paste from maple into this message w/out losing formatting, I attached a pdf with all the work. I am having trouble proving axiom 1 of two general magic square matrices added together; plus, I am not sure if my set notation is entirely correct.
 

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No matter how these matrices are defined, their entries are always elements from a certain field (the reals, for example), so they are commutative.
 

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