🔢 Nikhil Matrix Studio

Advanced Matrix Calculator & Linear Algebra Toolkit

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🚀 Overview

Nikhil Matrix Studio is a modern web-based matrix calculator and linear algebra toolkit designed for students, educators, and mathematics enthusiasts.

The platform supports matrix operations ranging from basic arithmetic to advanced linear algebra concepts such as eigenvalues, eigenvectors, LU decomposition, Gaussian elimination, and matrix analysis.

Built using pure JavaScript without external mathematical libraries, the application demonstrates algorithm implementation, mathematical computation, and responsive frontend engineering.

🔗 Live Demo: https://nikhilmatrixstudio.netlify.app/

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✨ Key Features

🔢 Basic Matrix Operations

✅ Matrix Addition

✅ Matrix Subtraction

✅ Matrix Multiplication

✅ Scalar Multiplication

✅ Matrix Transpose

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📐 Intermediate Operations

✅ Determinant Calculation

✅ Matrix Inverse

✅ Matrix Trace

✅ Matrix Rank

✅ Matrix Minor

✅ Matrix Cofactor

✅ Adjoint Matrix

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🧮 Advanced Linear Algebra

✅ REF (Row Echelon Form)

✅ RREF (Reduced Row Echelon Form)

✅ Gaussian Elimination

✅ Gauss-Jordan Method

✅ Matrix Power

✅ Matrix Division

✅ LU Decomposition

✅ Linear Equation Solver

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🎓 Matrix Analysis Tools

✅ Eigenvalue Calculation

✅ Eigenvector Computation

✅ Characteristic Polynomial

✅ Diagonalization Check

✅ Matrix Type Detection

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🔍 Matrix Property Analysis

✅ Symmetric Matrix Detection

✅ Skew-Symmetric Detection

✅ Orthogonal Matrix Check

✅ Singular Matrix Detection

✅ Positive Definite Check

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🎨 User Experience

✅ Modern Responsive UI

✅ Mobile-Friendly Layout

✅ Dark / Light Theme

✅ Error Handling

✅ Student-Friendly Design

✅ Accessible Controls

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🛠 Technology Stack

Frontend

Core Concepts

• Matrix Mathematics
• Linear Algebra
• Algorithm Design
• Mathematical Computation
• Responsive UI Design
• DOM Manipulation

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📂 Project Structure

matrix-studio/
│
├── index.html
├── style.css
├── script.js
├── assets/
│   ├── light.png
│   ├── dark.png
│   └── banner.png
│
└── README.md

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📸 Screenshots

Light Theme

Dark Theme

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🎯 Learning Objectives

This project was built to explore and strengthen knowledge in:

• Matrix Mathematics
• Linear Algebra Algorithms
• JavaScript Programming
• Mathematical Problem Solving
• Frontend Development
• User Interface Design

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🚀 Future Enhancements

• Step-by-Step Solution Visualization
• Matrix Graph Visualization
• Matrix Export Functionality
• PDF Report Generation
• Complex Number Support
• Numerical Methods Toolkit
• Equation Solver Expansion

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👨‍💻 Author

Nikhil Singh

Software Development Intern • Full-Stack Developer • Founder @ Gorakhpur Web Studio

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⭐ If you found this project useful, consider giving it a star.

🚀 Contributions, suggestions, and feedback are welcome.

💡 Built with passion for learning, problem-solving, and creating impactful software.