Matrix Calculator Improvements

AGENTS.md

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+# AGENTS.md
+
+This file provides instructions for AI agents working with this codebase.
+
+## Project Overview
+
+This is a Vue.js 3 application that functions as a matrix calculator. The core logic is handled by the `mathjs` library. The application is a single-page application (SPA) and does not have a backend.
+
+## Tech Stack
+
+-   **Vue.js 3:** The frontend framework.
+-   **Composition API:** Used for component logic.
+-   **Tailwind CSS:** For styling.
+-   **`mathjs`:** For matrix calculations.
+
+## Folder Structure
+
+-   `src/`: Contains the application source code.
+-   `src/assets/`: Static assets like CSS and images.
+-   `src/components/`: Vue components.
+-   `src/composables/`: Reusable logic, such as matrix operations.
+-   `public/`: Public assets.
+
+## Development
+
+1.  **Install Dependencies:**
+    ```bash
+    npm install
+    ```
+
+2.  **Run the Development Server:**
+    ```bash
+    npm run serve
+    ```
+
+## Linting
+
+To check for code quality and style issues, run the linter:
+
+```bash
+npm run lint
+```
+
+## Key Files
+
+-   `src/App.vue`: The main application component.
+-   `src/components/MatrixInput.vue`: The primary UI component for matrix input and displaying results.
+-   `src/components/OperationButtons.vue`: The component that contains the buttons for performing matrix operations.
+-   `src/composables/useMatrixOperations.js`: The core logic for all matrix calculations resides in this file.
+
+## Coding Conventions
+
+-   Follow standard Vue.js and JavaScript best practices.
+-   Use the Composition API for all new components.
+-   Separate business logic from UI components by using composables.
+-   Ensure that all new features have proper error handling.
+-   Keep the UI clean and user-friendly.