Exercise 5.2

a) Write a MATLAB program that takes as input a matrix and returns its inverse if it exists.

b) Implement Exercise 5.2(a) using switch case conditional structure.

c) Write a MATLAB script called to solve the real roots of a quadratic equation

ax² + bx + c = 0

Your algorithm should ask the user for the coefficients and generate the results for one root, two roots and no real roots.