i. ii. Write a system of linear equations in the form Px = b. In the system you write, the vector b must contain the numbers a and ẞ. Solve this system using the Gauss-Jordan elimination method. Construct a 3x3 matrix A. Matrix A should contain the numbers a, ẞ and μ. It can contain at most one 0. Using matrix A, find A+P, AP, PA, ATP. iii. Find the inverse of P, if available. iv. Calculate the determinant of matrix A and the determinant of matrix P.

Fig: 1