高等代数 | Ch4 向量空间 on Zuweihttps://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/Recent content in 高等代数 | Ch4 向量空间 on ZuweiHugo -- 0.154.5zh-cnMon, 25 Nov 2024 00:00:00 +0000线性代数 | 4.1 向量空间与子空间https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/1_vector_spaces_and_subspaces/Mon, 25 Nov 2024 00:00:00 +0000https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/1_vector_spaces_and_subspaces/向量空间、子空间、由集合生成的子空间线性代数 | 4.2 零空间、列空间和线性变换https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/2_null_spaces_column_spaces_linear_transformations/Mon, 25 Nov 2024 00:00:00 +0000https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/2_null_spaces_column_spaces_linear_transformations/零空间、零空间的显式刻画、列空间、列空间的显式刻画、零空间和列空间的对比、线性变换的核与值域线性代数 | 4.3 线性无关集和基https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/3_linearly_independent_set_bases/Mon, 25 Nov 2024 00:00:00 +0000https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/3_linearly_independent_set_bases/零空间、零空间的显式刻画、列空间、列空间的显式刻画、零空间和列空间的对比、线性变换的核与值域线性代数 | 4.4 坐标系https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/4_coordinate_systems/Mon, 25 Nov 2024 00:00:00 +0000https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/4_coordinate_systems/坐标相关定理、坐标的几何表示、$\mathbb{R}^n$ 的坐标映射、一般向量空间的坐标映射线性代数 | 4.5 向量空间的维数https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/5_dimension_of_vector_space/Mon, 25 Nov 2024 00:00:00 +0000https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/5_dimension_of_vector_space/维数的定义、有限维空间的子空间、列空间和零空间的维数线性代数 | 4.7 基的变换https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/7_change_of_basis/Mon, 25 Nov 2024 00:00:00 +0000https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/7_change_of_basis/向量空间中基的变换、$\mathbb R^n$ 中基的变换线性代数 | 4.8 差分方程的应用https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/8_difference_equations/Mon, 25 Nov 2024 00:00:00 +0000https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/8_difference_equations/离散时间信号、信号空间中的线性无关性、线性差分方程线性代数 | 4.6 秩https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/6_rank/Wed, 20 Nov 2024 00:00:00 +0000https://zuwei.org/notes/2024-1/linear-algebra/ch4_vector_spaces/6_rank/行空间、秩定理、秩与方程组的情况的关系、秩与可逆矩阵定理