A modern, elegant web application for performing advanced linear algebra operations with a beautiful glassmorphism UI.

• Basic Operations: Addition, Multiplication, Transpose
• Advanced Computations: Determinant, Inverse, Rank
• Eigenanalysis: Eigenvalues & Eigenvectors
• Decompositions: LU, QR decomposition

• Dot Product: For vectors of any dimension
• Cross Product: For 3D vectors

• Linear Systems: Solve Ax = b equations
• Multiple solution types: Unique, infinite, or least-squares solutions

• 🎨 Glassmorphism UI: Beautiful transparent glass-like interface with black and gray theme
• 🌑 Modern Dark Theme: Elegant black to gray gradient backgrounds
• 🔍 Real-time Feedback: Instant error handling and validation
• 📱 Responsive Design: Works perfectly on all devices
• ⚡ Fast Performance: Server-side calculations with Next.js API routes
• 🎯 Type Safety: Full TypeScript implementation with strict type checking

• Node.js 18+ and npm/yarn/pnpm
• Modern web browser

1. Clone the repository:

   git clone https://github.com/sakethksg/Linear-Algebra-Calculator.git
   cd Linear-Algebra-Calculator

2. Install dependencies:

   npm install
   # or
   yarn install
   # or
   pnpm install

3. Run the development server:

   npm run dev
   # or
   yarn dev
   # or
   pnpm dev

4. Open your browser:

   http://localhost:3000
   

Matrices are entered as text with rows separated by semicolons:

1 2 3; 4 5 6; 7 8 9

This represents:

[ 1  2  3 ]
[ 4  5  6 ]
[ 7  8  9 ]

Vectors are space-separated values:

1 2 3 4 5

• Addition: Add two matrices of same dimensions
• Multiplication: Multiply compatible matrices
• Transpose: Flip rows and columns
• Determinant: Calculate determinant of square matrices
• Inverse: Find inverse of non-singular matrices
• Rank: Determine matrix rank

• Eigenvalues & Eigenvectors: Compute with complex number support
• System Solver: Solve linear systems Ax = b

• Dot Product: Scalar product of vectors
• Cross Product: Vector product (3D only)

• LU Decomposition: Lower-Upper factorization
• QR Decomposition: Orthogonal-triangular factorization

Linear-Algebra-Calculator/
├── app/
│   ├── api/              # Next.js API routes
│   │   ├── matrix/       # Matrix operations endpoints
│   │   ├── vector/       # Vector operations endpoints
│   │   └── system/       # System solver endpoint
│   ├── layout.tsx        # Root layout
│   ├── page.tsx          # Main page
│   └── globals.css       # Global styles with glassmorphism
├── components/
│   ├── ui/               # shadcn/ui components
│   ├── MatrixOperation.tsx
│   ├── VectorOperation.tsx
│   ├── EigenCalculator.tsx
│   ├── SystemSolver.tsx
│   └── DecompositionCalculator.tsx
├── lib/
│   ├── matrix-utils.ts   # Matrix calculation utilities
│   ├── vector-utils.ts   # Vector calculation utilities
│   └── utils.ts          # Helper functions
└── public/               # Static assets

1. Push your code to GitHub
2. Import project in Vercel
3. Deploy automatically

npm run build
npm start

Edit app/globals.css to customize the glass effects:

.glass {
  background: rgba(255, 255, 255, 0.05);
  backdrop-filter: blur(16px) saturate(180%);
  border: 1px solid rgba(255, 255, 255, 0.125);
}

Edit tailwind.config.ts to customize colors and theme. Current theme uses black to gray gradients for a modern, elegant look.

Build and run with Docker:

docker build -f Dockerfile.nextjs -t linear-algebra-calc .
docker run -p 3000:3000 linear-algebra-calc

Contributions are welcome! Please feel free to submit a Pull Request.

1. Fork the repository
2. Create your feature branch (git checkout -b feature/AmazingFeature)
3. Commit your changes (git commit -m 'Add some AmazingFeature')
4. Push to the branch (git push origin feature/AmazingFeature)
5. Open a Pull Request

This project is open source and available under the MIT License.

• shadcn/ui for the beautiful component library
• mathjs for mathematical operations
• Next.js for the amazing framework
• Tailwind CSS for utility-first styling

Project Link: https://github.com/sakethksg/Linear-Algebra-Calculator

Built with ❤️ using Next.js, TypeScript, and shadcn/ui