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Vocabulary in Linear Algebra - Chapter 1


Vocabulary in Linear Algebra
Chapter 1
N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Linear Algebra System of Linear Equations augmented matrix matrix of the coefficients matrix a matrix of order m× n row column linear transformation Entry row matrix/vector column matrix/vector zero matrix square matrix upper triangular matrix lower triangular matrix diagonal matrix diagonal principal diagonal auxiliary diagonal identity matrix Homotypic matrix operations on Matrices commutative law associative law distributive law singular matrix nonsingular matrix symmetric English 线性代数 线性方程组 增广矩阵 系数矩阵 矩阵 m× n 阶矩阵 行 列 线性变换 元素 行矩阵/向量 列矩阵/向量 零矩阵 方阵 上三角矩阵 下三角矩阵 对角矩阵 对角线 主对角线 次对角线 单位矩阵 同型矩阵 矩阵的运算 交换律 结合律 分配率 奇异矩阵 非奇异矩阵 对称的 中 文

30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53

skew-symmetric Linear operations Scalar Multiples Matrix Multiplication Product Powers of a Matrix Transpose of a Matrix transpose transposed matrix Partitioned/block Matrices Block diagonal matrix Elementary Operations elementary row operations Elementary column operations Row Echelon Matrix Reduced Row Echelon Matrix leading entry row equivalent column equivalent Existence Uniqueness inverse matrix invertible elementary matrix

反对称的 线性运算 数乘 矩阵乘法 积 矩阵的幂 矩阵的转置 转置 转置矩阵 分块矩阵 分块对角矩阵 初等变换 初等行变换 初等列变换 行阶梯形矩阵 行最简形矩阵 首项 行等价 列等价 存在性 唯一性 逆矩阵 可逆的 初等矩阵


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