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

Yukio Kobayashi

Abstract

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.

Keywords

Hankel's principle, the principle of the permanence of form and its transition, homothety, matrix, commutative law for multiplication, composite mapping

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