The Decomposition Of Magic Matrix And The Construction Of Palindrome Magic Matrix

Magic matrix and palindrome magic matrix are used as special matrices.They has been favored by scholars.However,the decomposition of magic matrix and the construction of palindrome magic matrix are still worthy of our in-depth study.These two issues will be studied by four aspects.In the first part,the research background and current status of two types of special matrices are introduced.So as to determine the significance of this topic and the necessity of research.In the second part,according to the definition of the number of palindromes,the algebraic representation methods of palindrome,vector algebra representation methods of palindrome and matrix algebraic representation methods of palindrome are illustrated by this article.In the third part,there are the definition of magic matrix and the decomposition method of the primitive row magic matrix and the primitive column magic matrix and the weak magic matrix and magic square and magic square.According to different decomposition methods,the corresponding base matrix is obtained.In the fourth part,on the basis of the research of the three parts,the palindrome magic matrix with different digits and different scales are constructed by using the base matrices decomposed by the above different magic matrix respectively.