前置知识 → 向量依据Editorial suggested sequence; verify the course context. [linear-algebra]
后续学习 → 线性方程组依据Editorial suggested sequence; verify the course context. [linear-algebra]
后续学习 → 秩与零度依据Editorial suggested sequence; verify the course context. [linear-algebra]
后续学习 → 行列式依据Editorial suggested sequence; verify the course context. [linear-algebra]
后续学习 → 线性变换依据Editorial suggested sequence; verify the course context. [linear-algebra]
讲解 → 矩阵依据Candidate from reviewed zh material v1: 矩阵加法按对应位置定义。两个矩阵必须具有相同的行数和列数；结果保留这个形状，每个元素等于两个输入在对应位置上的元素之和。
讲解 → 矩阵依据Candidate from reviewed zh material v1: 3×2 矩阵表示从二维输入空间到三维输出空间的线性映射。其非方形状记录了不同数量的输入和输出坐标。
讲解 → 矩阵依据Candidate from reviewed en material v1: This example uses square matrices of order 2. A matrix organizes its entries into horizontal rows and vertical columns.
讲解 → 矩阵依据Candidate from reviewed en material v1: The instructor writes capital letters A and B above the two matrices. These labels express the comparison as A+B=B+A.
讲解 → 矩阵依据Candidate from reviewed en material v1: A linear map with input and output spaces of the same dimension has a square matrix representation once bases are chosen. The earlier examples use 2×2 and 3×3 matrices.
讲解 → 矩阵依据Candidate from reviewed zh material v1: 本例使用2阶方阵；矩阵的元素按横行与竖列组织。
内容位置 → 矩阵依据Candidate from reviewed zh material v1: 矩阵加法按对应位置定义。两个矩阵必须具有相同的行数和列数；结果保留这个形状，每个元素等于两个输入在对应位置上的元素之和。
内容位置 → 矩阵依据Candidate from reviewed en material v1: The instructor writes capital letters A and B above the two matrices. These labels express the comparison as A+B=B+A.
内容位置 → 矩阵依据Candidate from reviewed zh material v1: 3×2 矩阵表示从二维输入空间到三维输出空间的线性映射。其非方形状记录了不同数量的输入和输出坐标。
内容位置 → 矩阵依据Candidate from reviewed en material v1: A linear map with input and output spaces of the same dimension has a square matrix representation once bases are chosen. The earlier examples use 2×2 and 3×3 matrices.
内容位置 → 矩阵依据Candidate from reviewed en material v1: This example uses square matrices of order 2. A matrix organizes its entries into horizontal rows and vertical columns.
内容位置 → 矩阵依据Candidate from reviewed zh material v1: 本例使用2阶方阵；矩阵的元素按横行与竖列组织。
内容位置 → 矩阵乘法结合律：两种括号位置的例题依据Candidate from reviewed en material v1: This example uses square matrices of order 2. A matrix organizes its entries into horizontal rows and vertical columns.
讲解 → 矩阵依据Candidate from reviewed en material v1: This example uses square matrices of order 2. A matrix organizes its entries into horizontal rows and vertical columns.
内容位置 → 矩阵加法与减法：Khan Academy依据Candidate from reviewed en material v1: The instructor writes capital letters A and B above the two matrices. These labels express the comparison as A+B=B+A.
讲解 → 矩阵依据Candidate from reviewed en material v1: The instructor writes capital letters A and B above the two matrices. These labels express the comparison as A+B=B+A.
内容位置 → 非方阵：不同维度之间的线性变换｜3Blue1Brown依据Candidate from reviewed en material v1: A linear map with input and output spaces of the same dimension has a square matrix representation once bases are chosen. The earlier examples use 2×2 and 3×3 matrices.
讲解 → 矩阵依据Candidate from reviewed en material v1: A linear map with input and output spaces of the same dimension has a square matrix representation once bases are chosen. The earlier examples use 2×2 and 3×3 matrices.
math