Requires → VectorsEvidenceEditorial suggested sequence; verify the course context. [linear-algebra]
Leads to → Linear systemsEvidenceEditorial suggested sequence; verify the course context. [linear-algebra]
Leads to → Rank and nullityEvidenceEditorial suggested sequence; verify the course context. [linear-algebra]
Leads to → DeterminantsEvidenceEditorial suggested sequence; verify the course context. [linear-algebra]
Leads to → Linear transformationsEvidenceEditorial suggested sequence; verify the course context. [linear-algebra]
Explanation → MatricesEvidenceCandidate 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。
Explanation → MatricesEvidenceCandidate 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。
Explanation → MatricesEvidenceCandidate from reviewed en material v1: This example uses square matrices of order 2. A matrix organizes its entries into horizontal rows and vertical columns.
Explanation → MatricesEvidenceCandidate 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.
Explanation → MatricesEvidenceCandidate 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.
Explanation → MatricesEvidenceCandidate 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。
Content location → MatricesEvidenceCandidate 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。
Content location → MatricesEvidenceCandidate 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.
Content location → MatricesEvidenceCandidate 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。
Content location → MatricesEvidenceCandidate 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.
Content location → MatricesEvidenceCandidate from reviewed en material v1: This example uses square matrices of order 2. A matrix organizes its entries into horizontal rows and vertical columns.
Content location → MatricesEvidenceCandidate 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。
Content location → Worked example: matrix multiplication associativityEvidenceCandidate from reviewed en material v1: This example uses square matrices of order 2. A matrix organizes its entries into horizontal rows and vertical columns.
Explanation → MatricesEvidenceCandidate from reviewed en material v1: This example uses square matrices of order 2. A matrix organizes its entries into horizontal rows and vertical columns.
Explanation → MatricesEvidenceCandidate 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.
Content location → Nonsquare matrices as transformations between dimensions | 3Blue1BrownEvidenceCandidate 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.
Explanation → MatricesEvidenceCandidate 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.