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Linear Algebra

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Explaining the concepts of Linear Algebra, from Basics to Advanced. There will also be articles about their application in Computer Science.

Basics

  • Linear Equation of two variables and Matrices
  • Operations on Matrices
  • Types of Matrices, Diagonal and Transpose
  • Tensors, Scalars, and Vectors
  • Gaussian Elimination
  • Inverses and Gauss Jordan Elimination
  • Vectors
  • Vector Components
  • Dot and Hadamard Product
  • Minors and Cofactors
  • Determinants
  • Properties of Determinants

Advanced

  • Row picture and Column Picture
  • Linear Independence, Rank of Matrix and Span
  • Vector Spaces and Subspaces
  • Example of Subspaces
  • Row space, Column Space and Null Space
  • Orthogonality and four fundamental Subspaces
  • Dimension and Basis
  • Projections
  • Norms
  • Eigenvalues and Eigenvectors

Applications

  • List, Arrays, and Matrices in Python3

PyFinance

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Sharing articles about the applications of Python programming language in Financial data modeling.

  • Why Python is the best choice for financial data modeling in 2019
  • Deploy Jupyter Notebook on AWS EC2 instance

Statistics

  • Correlation

TensorFlow

  • Introduction to TensorFlow
  • Graphs and Constants

Complete Calculus

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Explaining concepts of Calculus.

Limits

  • Limits
  • Existence of Limits
  • Formal Definition of Limits
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