摘要
本文从矩阵乘法运算出发,约定数域上形如FA=(a11的×矩阵在进行矩阵乘法运算或)11作为矩阵乘法运算结果时相当于数域中的一个数,Fa11,并对此约定进行理论论证,从而使矩阵乘法运算法则更加完备,并使得空间解析几何中推广的一般维向量空间中的向量的数性积,高等代数中的矩阵n乘法运算与欧式空间中内积定义完整有机联系起来。
From the point of matrix multiplication operation, the theme formulates that first order matrix in F-muber field equals to a certain number in F-number field when first order matrix is in the operation of matrix multiplication or the result of multiplication operation is first order matrix; the theme also conduct the theoretical demonstration about the formulation. With the formulation, the regulations of matrix multiplication operation is perferted; on the other hand, the vector's muber gendre product of general n-dimension vector space which is popularized in space analytic geometry,matrix multiplication operation in advanced algebra and internal product's definition in Euclidean space are connected completely and organically.
出处
《克山师专学报》
2002年第3期16-19,共4页
Journal of Keshan Teachers College
关键词
数域
理论论证
一阶矩阵
矩阵乘法运算
内积
高等代数
first order matrix
matrix multiplication operation
F-muber field
internal product
