Perform the following calculations with the help of the A and b matrices below your student number and the equation Ax=b or (ATA) x=ATb (AT: A transpose of the matrix A ). Compare the results of inversion and reduction methods. Also, prepare an integrated C++ software that includes each method and add its codes to your assignment. 11. Calculate the inverse of matrix A using Kramer's rule. 12. Calculate the inverse of matrix A by pivoting. 13. Calculate the inverse of the A matrix using the Gauss method. 14. Calculate x vector of unknowns with Gaussian algorithm. 15. Calculate the unknowns vector x using the Gauss-Jordan method. 16. Calculate the unknowns vector x with the modernized Gaussian algorithm. 17. Calculate the inverse of the ATA matrix with the modernized Gaussian algorithm. [0.10680.90370.03050.60990.1829][0.65380.89090.74410.61770.2399]A=[0.49420.33420.50000.85940.8865][0.77910.69870.47990.80550.0287][0.71500.19780.90470.57670.4899]