PLEASE CODE USING JUPYTER NOTEBOOK AND ENSURE THE CODE IS WELL COMMENTED AND FOLLOW THE INSTRUCTIONS ADDRESSING EVERYTHING LISTED BELOW:

Homework Submit your code and the output figure in one pdf file. Submit your code as a PDF file. If your code is written in Jupyter notebook, you can convert .ipynb files to .pdf files using https://www.convert.ploomber.io/. There are similar tools for other programming languages, but you can always take screenshots of your code and compile all the figures into a PDF file. Failure to adhere to these instructions will result in a penalty of 3 points. (6pt) 2D Possion Equation Consider a 2D Poisson's equation with Dirichlet boundary conditions: Au(x, y) = f(x,y), ind := (0, 1) x (0, 1), u(x, y) = g(x, y), on on, where A is the Laplacian operator, f(x) = sin(x - y), and g(x, y) = 1. Approximate the solution using Finite Difference Method with a grid-size n = 100. The resulting linear system of equations Au = b should be solved via Jacobi Method initialized with all Os. The stoping criteria for Jacobi method is when lukt - uh | True]