Homework 4. Matrix Inverse Write a Python program to find the inverses of user-generated 22 matrices. 1) Do NOT use any packages (e.g., NumPy, pandas). 2) Ask the user to enter a matrix in the nested list expression. 3) Construct and display its inverse matrix. Ignore cases where the inverse does not exist. The program should be capable of the following. Enter 4 numbers separated by comma (a, b, c, d): 5,3,6,4 The inverse of the matrix is [[2.0, -1.5], [-3.0, 2.5]]. Follow the same submission requirement (.py file and screenshot) as before. Note: the 4 input numbers a,b,c,d correspondes to the 22 matrix (a b). Background: A matrix is an array of numbers, like a spreadsheet filled with numbers. It has wide applications in science, engineering, and businesses. The simplest form of matrices is a 2 by 2 matrix, e.g., above. (3). In Python, we can use a nested list to express the matrix as shown The inverse of a matrix A, typically denoted by A-1, is another matrix that satisfies AA- = A-A = (). This is analogous to 2 2- = 2- 2 = 1 for real numbers. Matrix inverses can be used to solve systems of linear equations, among other things. Calculation: Let A = = (a b). Its inverse is A- = 1 d ad-bc (b), -C Notice that when ad = bc, the inverse does not exist. But you can ignore this case for the assignment. As an example, if A = (53), we have 6 1 A- = *54 - 6x3(-6 5 ) = (23 2.5). There are other (more efficient) ways to calculate matrix inverses.