| 数域F上形如A＝（a11）的1×1矩阵的特殊约定及理论论证 |
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| 引用本文： | 周立群,陈秀波.数域F上形如A＝（a11）的1×1矩阵的特殊约定及理论论证[J].齐齐哈尔师范高等专科学校学报,2002,21(3):16-19. |
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| 作者姓名： | 周立群 陈秀波 |
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| 作者单位： | 克山师专数学系，齐齐哈尔大学数学系 黑龙江克山，161601，黑龙江齐齐哈尔，161006 |
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| 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。
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| 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 |
Special Formulation And Theoretical Demonstration On First order Matrix In form Of A= (a_(11)) In F Number Field |
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| ZHOU Li-qun,CHEN Xiu-bo.Special Formulation And Theoretical Demonstration On First order Matrix In form Of A= (a_(11)) In F Number Field[J].Journal of Qiqihar Junior Teachers‘ College,2002,21(3):16-19. |
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| Authors: | ZHOU Li-qun CHEN Xiu-bo |
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| Institution: | ZHOU Li-qun1,CHEN Xiu-bo2 |
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| Abstract: | 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. |
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| Keywords: | first order matrix matrix multiplication operation F-muber field internal product |
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