# Applications

Now that you understand the fundamentals, let's see matrices in action. This section explores real-world applications across engineering, signal processing, graphics, and data science.

## Topics

```{toctree}
:maxdepth: 1

solving-systems
least-squares
dsp
graphics
beamforming
```

## What You'll Explore

Matrices aren't just abstract math—they're practical tools for solving real problems:

- **Solving Systems of Equations**: Use matrices to solve multiple equations simultaneously
- **Least Squares Fitting**: Find the best-fit line through noisy data
- **Digital Signal Processing**: Filter and analyze audio, images, and sensor data
- **Computer Graphics**: Transform, rotate, and project 3D objects
- **Beamforming**: Focus antenna arrays to enhance or suppress signals from specific directions

## Prerequisites

Before diving into applications, make sure you're comfortable with:

- Basic matrix operations (addition, multiplication)
- Matrix shapes and dimensions
- How matrices represent transformations

If you need a refresher, revisit the {doc}`../fundamentals/index` section.

## Interactive Examples

Each application includes executable Python code and Jupyter notebooks. You'll see how the math translates into working code that solves practical problems.

## Next Steps

Start with {doc}`solving-systems` to see how matrices make light work of simultaneous equations.