## Inspiration

To make Matrix functions more accessible and easier to use. Matrix functions are an essential tool in many different fields, including engineering, science, and finance. However, performing these calculations can be complex and time-consuming, especially for people who are new to the subject. With Catrix, our goal was to create an app that simplifies these calculations and makes them more user-friendly. By providing a clear, intuitive interface and step-by-step instructions, we hope to make Matrix functions more accessible to a wider audience.

## What it does to define a number of matrices and perform various operations

This code appears to define a number of matrices and perform various operations on them using NumPy and SciPy. The operations include matrix addition, subtraction, multiplication, determinant calculation, transpose calculation, eigenvalue and eigenvector calculation, orthogonality check, Cholesky decomposition, singular value decomposition, and LU decomposition.

## How we built it Catrix app

To build the Catrix app, we first had to do some research to understand the different Matrix functions that we wanted to include and how they work. This involved studying the mathematical principles behind these functions and looking at examples of how they are used in different fields. Next, we developed the algorithms that would be used to perform the calculations. This involved writing code to implement the mathematical equations that are used to solve each of the Matrix functions. Once the algorithms were working properly, we tested the app to make sure it was accurate and reliable. This involved running a series of tests to ensure that the app was producing the correct results for a variety of different inputs.

## Challenges we ran into to make the app

One of the biggest challenges was finding a way to make the complex concepts of matrix mathematics accessible and easy to understand for users of all levels. I am proud to say that through extensive testing and user feedback, we have succeeded in creating an app that is both user-friendly and accurate.

Another challenge was optimizing the performance of the app to handle large matrices efficiently. We worked hard to optimize the algorithms and code to ensure that the app can handle even the most complex calculations quickly and accurately.

## Accomplishments that we're proud of in relation to the Catrix app,

• Successfully implementing a range of matrix functions, including LU decomposition, Cholesky decomposition, Singular value decomposition, and Linear Transformations (eigenvectors and eigenvalues).
• Making complex mathematical concepts easy to understand and accessible for users of all levels.
• Successfully launching the app and making it available for others to use.

## What we learned while creating the Catrix app,

• Strategies for making complex mathematical concepts easier to understand and more approachable for a wide range of users.
• The value of persistence and hard work in overcoming challenges and creating a successful product.-
• The importance of understanding the needs and wants of your target audience.