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Algebra


Algebra is the study of generalizations of arithmetic operations.

Algebra began with arithmetic-style computations, with letters standing in for numbers. This enabled proofs of qualities that are true regardless of the numbers used.

Algebra is useful for expressing a mathematical equation and connection using letters or other symbols to represent the things. Algebra aids in the discovery of the equation’s unknown value. Algebraic formulae aid in determining distances, container volumes, and sales pricing, among other things.

An equation in math is defined as a set of numbers that contain operations and can contain a variable. Equations are used to solve for these unknown variables by using different operations such as addition, subtraction, multiplication, and division.

Algebra forms the foundation for all higher mathematics, including Linear Algebra, Calculus, and beyond

    

Algebra Overview

  Wiki: Algebra
  
  Wiki: Outline of Algebra
  
  Wiki: Expression_(mathematics)
  
  Wiki: Algebra
  
  
  
  
  
  
  
  
  

Linear Algebra

Linear algebra is a form of continuous rather than discrete mathematics and involves Scalars, Vectors, Matrices and Tensors.

Any vector that is only scaled by a matrix is called an eigenvector of that matrix. And how much the vector is scaled... is known as the eigenvalue".

  Google Search: Linear Algebra
  
  Google Search: Linear Algebra: Four Fundemental Subspaces
  
  Scalar multiplication
  
  Scaling (geometry)
  
  Wiki: Glossary of Linear Algebra
  
  YT: The Big Picture of Linear Algebra - Gilbert Strang, Massachusetts Institute of Technology
  
  The Applications of Matrices | What I wish my teachers told me way earlier
  
  Eigenvector via Mathworld Algebra > Linear Algebra > Matrices > Matrix Eigenvalues > and Algebra > Linear Algebra > Matrices > Matrix Decomposition >
  
  MIT Open Courseware: Linear Algebra - Prof. Gilbert Strang
  
  Khan Academy: Linear Algebra
  
   Deep Learning - Linear Algebra
  
  Paper: The Four Fundamental Subspaces: 4 Lines, Gilbert Strang, Massachusetts Institute of Technology
  
  YT: The Four Fundamental Subspaces and Least Squares, Gilbert Strang, Massachusetts Institute of Technology
  
  
  
  
  
  
  
  
  
  
  
  
  
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