├── README.md ├── lecture-summary ├── 18.06SC Unit 1 Exam Solutions.pdf ├── Lec01-The geometry of linear equations.pdf ├── Lec02-Elimination with matrices.pdf ├── Lec03-Multiplication and inverse matrices.pdf ├── Lec04-Factorization into A = LU.pdf ├── Lec05-Transposes, permutations, spaces R.pdf ├── Lec06-Column space and nullspace.pdf ├── Lec07-Solving Ax = 0 pivot variables, special solutions.pdf ├── Lec08-Solving Ax = b row reduced form R.pdf ├── Lec09-Independence, basis, and dimension.pdf ├── Lec10-The four fundamental subspaces.pdf ├── Lec11-Matrix spaces; rank 1; small world graphs.pdf ├── Lec12-Graphs, networks, incidence matrices.pdf ├── Lec13-Exam 1 review.pdf ├── Lec14-Orthogonal vectors and subspaces.pdf ├── Lec15-Projections onto subspaces.pdf ├── Lec16-Projection matrices and least squares.pdf ├── Lec17-Orthogonal matrices and Gram-Schmidt.pdf ├── Lec18-Properties of determinants.pdf ├── Lec19-Determinant formulas and cofactors.pdf ├── Lec20-Cramer’s rule, inverse matrix, and volume.pdf └── Lec21-Eigenvalues and eigenvectors.pdf └── notes ├── Lec01-方程组的几何解释.pdf ├── Lec02-矩阵消元.pdf ├── Lec03-乘法和逆矩阵.pdf ├── Lec04-A的LU分解.pdf ├── Lec05-转置、置换和向量空间 R.pdf ├── Lec06-列空间和零空间.pdf ├── Lec07-求解 Ax=0 ：主变量，特解.pdf ├── Lec08-求解 Ax=b ：可解性和解的结构.pdf ├── Lec09-线性相关性、基和维数.pdf ├── Lec10-四个基本子空间.pdf ├── Lec11-矩阵空间、秩 1 矩阵和小世界图.pdf ├── Lec12-图和网络.pdf ├── Lec13-复习一.pdf ├── Lec14-正交向量与子空间.pdf ├── Lec15-子空间投影.pdf ├── Lec16-投影矩阵和最小二乘法.pdf ├── Lec17-正交矩阵和 Gram-Schmidt 正交化.pdf ├── Lec18-行列式及其性质.pdf ├── Lec19-行列式公式和代数余子式.pdf ├── Lec20-克拉默法则、逆矩阵、体积.pdf └── Lec21-特征值和特征向量.pdf /README.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/RQTN/linear-algebra-notes/HEAD/README.md -------------------------------------------------------------------------------- /lecture-summary/18.06SC Unit 1 Exam Solutions.pdf: -------------------------------------------------------------------------------- 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