🔢 Matrix Calculator and Linear Algebra Library

🧠 Overview

This is a TypeScript-based library for matrix calculations and linear algebra operations. It provides a comprehensive set of tools for working with matrices, vectors, complex numbers, and polynomials.

✨ Features

• 🧊 Complex Number Support:

  • Handles Cartesian and polar coordinate representations.
  • Performs basic arithmetic operations on complex numbers.

• 🧾 Linear System Solver:

  • Solves systems of linear equations.

• 🔢 Matrix Operations:

  • Basic Arithmetic: Addition, Subtraction, Multiplication, Division, Exponentiation.
  • Row Operations: Row Swap, Row Multiplication, Row Addition.
  • Matrix Properties & Transformations: Transpose, Conjugate, Conjugate Transpose, Determinant, Inverse, Trace, Minor.
  • Matrix Diagonalization: Diagonalization, Eigenvalues, Eigenvectors.
  • Matrix Type Checking: Identifies Square, Symmetric, Hermitian, Diagonal, Normal, and other matrix types.

• 📈 Polynomial Operations:

  • Basic Arithmetic: Addition, Subtraction, Multiplication, Division.
  • Analysis: Factorization, Root Finding, Polynomial Evaluation.

• ↗️ Vector Operations:

  • Basic Arithmetic: Addition, Subtraction, Scalar Multiplication, Scalar Division.
  • Vector Properties: Dot Product, Norm (Magnitude), Normalization.
  • Basis & Orthogonalization: Finds a basis from a given set, Gram-Schmidt Process.

💻 Local Installation

1. Prerequisites:

   • Node.js (v14 or later)
   • npm (included with Node.js)

2. Clone the Repository:

   git clone https://github.com/guychuk/matrix-calculator.git
   cd matrix-calculator

3. Install Dependencies:

   npm install
   npm install ts-node --save-dev  # For running TypeScript files directly

🧪 Usage

1. Executing Calculations:

   • Write your matrix calculations in a .ts file.

   • Use ts-node to run the script: ts-node your_script_name.ts

   • Example: To run examples/fib.ts:

     ts-node examples/fib.ts

     Output:

     Example of calculating Fibonacci numbers using matrices:
      fib(0) = 0
      fib(1) = 1
      fib(2) = 1
      fib(3) = 2
      fib(4) = 3
      fib(5) = 5
      fib(6) = 8
      fib(7) = 13
      fib(8) = 21
      fib(9) = 34
     

2. Running Tests:

   Use Jest to ensure the library functions correctly:

   npm test

📚 Project History

This project was initially part of the white-rabbit repository.

For the complete commit history and earlier development stages, see:

➡️ white-rabbit 🐇