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Commutative Law for the Multiplication of Matrices as Viewed in Terms of Hankel's Principle

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2014

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Many rules of arithmetic for real numbers also hold for matrices, but a few do not. The commutative law for the multiplication of matrices, however, can be also considered as an extension of the law for real numbers. The transpose of a matrix conserves "the principle of the permanence of form and its transition" for the commutative law for multiplication.
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  • English

REFERENCES

References: 

[1] H Anton and C Rorres. Elementary Linear Algebra Applications Version. John Wiley & Sons, New York, 1994.
[2] E E Escultura. Creative Mathematics Education. Creative Education, 3, 45-54 (2012).
[ 3] Y Itagaki. The Concept of Rational Numbers: A study of the View on the Principle of the Permanence of Form and Its Transition. Journal of Japan Society of Mathematical Education, 67, 114-121 (1985) [in Japanese].

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