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# 线 性 代 数 Linear Algebra - PowerPoint PPT Presentation

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1.代数与代数学

《ilm al-jabr wa’l muqābalah》

1853年，李善兰, Elexande Wylie,《代数学》

→初等代数（古典代数）：代数式的运算、方程、方程组.

→近世代数（抽象代数）：群、环、域等代数结构.

2.线性代数

1.1 矩阵的概念

1850年，西尔维斯特（Sylvester，1814-1894）

m×n 矩阵(matrix)：

n 阶方阵(n×n矩阵):

1. 零矩阵：

2. 矩阵：

1阶方阵( 矩阵)：

6. 上三角矩阵

7. 对称矩阵