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list from [[]] and !outgoing([[]])📗 -> Linear Algebra
❗ Information
Linear Algebra is the branch of mathematics that deals with vectors and matrices, and is particularly useful in the transformation of big data, as big data is represented as an array (or matrix).
📄 -> Methodology
Matrix-Multiplication
X-Transpose-Times-X
✒️ -> Topics
MIT Basic Syllabus:
- Systems of linear equations
- Row reduction and echelon forms
- Matrix operations, including inverses
- Block matrices
- Linear dependence and independence
- Subspaces and bases 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
🧪-> Example
- Define examples where it can be used
🔗 -> Related Word
- Link all related words