MIT18.06_1_Course Introduction
Course Introduction
and the Four Subspaces - Least Squares, Determinants and Eigenvalues
- Positive Definite Matrices and Applications
Website
https://ocw.mit.edu/courses/18-06sc-linear-algebra-fall-2011/
Prerequisites
Multivariable Calculus
Course Goal
- Systems of linear equations
- Row reduction and echelon forms
- Matrix operations, including inverses
- Block matrices
- Linear dependence and dimensions
- Orthogonal bases and orthogonal projections
- Gram-Schmidt process
- Linear models and least-squares problems
- Determinants and their properties
- Cramer’s Rule
- Eigenvalues and eigenvectors
- Diagonalization of a matrix
- Symmetric matrices
- Positive definite matrices
- Similar matrices
- Linear transformations
- Singular Value Decomposition
- Post title: MIT18.06_1_Course Introduction
- Create time: 2022-09-23 00:23:42
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