The rayleigh quotient maximization problem naturally occurs in many disciplines—machine learning, statistics, quantum mechanics, and portfolio optimization just to name a few. Although the solution of this problem is widely known, many texts state the solution without offering any proof. In this post, I will present proof of the rayleigh quotient maximization problem solution that will hopefully satisfy the most inquisitive of readers!

I have been using git frequently these days. Recently, I have been on the hunt for a script to display git status information in my bash prompt. This way I can easily see important git repository information in my shell prompt without having to type git status all of the time which would save frequent git users like myself a lot of time. However, many of the existing solutions that I found were either too simplistic or complete overkill for the task at hand, so I decided to create my own.