feat: Add GEMINI.md for project context

Author: Niraj Bajpai

GEMINI.md

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+# Project Overview
+
+This directory contains the source files for the "Jupyter Guide to Linear Algebra," an interactive book created with Jupyter Book. The guide is designed for introductory-level students and covers core linear algebra topics using Python, NumPy, SciPy, and Matplotlib. It emphasizes practical computation and application over formal proofs and theorems.
+
+The content is structured as a series of Jupyter notebooks (`.ipynb` files) that cover topics such as linear systems, vector spaces, linear transformations, inner products, and eigenvalues. The guide also includes introductions to Python, NumPy, and Jupyter itself.
+
+A custom Python module, `laguide.py`, provides a set of functions for performing linear algebra operations like row reduction, QR factorization, and solving systems of equations. This module is used throughout the notebooks.
+
+## Building and Running
+
+This is a Jupyter Book project. To build the book locally, you need to have Python and the dependencies listed in `requirements.txt` installed.
+
+1.  **Install dependencies:**
+
+    ```bash
+    pip install -r requirements.txt
+    ```
+
+2.  **Build the book:**
+
+    ```bash
+    jupyter-book build .
+    ```
+
+This will generate a `_build/html` directory containing the static HTML files for the book. You can open `_build/html/index.html` in a web browser to view the book.
+
+## Development Conventions
+
+The project is organized as a Jupyter Book.
+
+*   **Configuration:** The book's configuration is in `_config.yml`, which includes the title, author, and other settings.
+*   **Table of Contents:** The structure of the book is defined in `_toc.yml`. This file determines the order of the chapters and sections.
+*   **Content:** The main content is in the Jupyter notebooks (`.ipynb` files). Each notebook corresponds to a chapter or section of the book.
+*   **Custom Module:** The `laguide.py` file contains custom functions used in the notebooks. Any new, reusable code should be added to this module.
+*   **Images:** Images are stored in the `img/` directory.
+*   **Solutions:** Solutions to exercises are provided in separate notebooks, such as `Linear_Systems_Solutions.ipynb`.