A double-subscripted array with equal number of rows and columns is actually a square matrix. A 2-by-2 square matrix can be described as follows a = laza 2,2). The only difference between double- subscripted arrays and matrices is that the subscripts start from O for the arrays whereas they start from 1 for matrices. Determinant of a square matrix is a real number. Determinant of a 2-by-2 square matrix is calculated as follows Det(A) = 1=1C023 022)) = 2,1022 021022 The inverse (As") of a 2-by-2 matrix is calculated as A-1 - Multplication of a n-by-n matrix and its inverse is equal to the n-by-n identity matrix. For a 2-by-2 A matrix AA-= 12 -6 in this question, write a C program to calculate the determinant and inverse of a 2-by-2 matrix. In your program 1) ii) Define a 2-by-2 matrix, initialize and print the values of the matrix (10 points). Determine and print the determinant of the matrix. For this purpose use the function double det2by2(double a[][2]); Here a is the original matrix and its determinant is returned by the function(30 points) Determine and print the inverse of the matrix. For this purpose use the function void inv2by2/double a[[2], double ainv[112], double det2); Here a is the original matrix, ain is the inverse, det2 is the determinant of the matrix. (30 points) Show that multiplication of the matrix and its inverse is equal to the identity matrix. For this purpose use the function void mat_mult double a[112double ainv[]12),double iden[12]); Here a is the original matrix, ain is the inverse of the matrix, and iden is the result. Print the iden matrix in the main program. (30 points) Test your program with A = The output of your program might be as follows iv) v) Users aitab Documents det.ee Matrix 2x2 4.0 6.0 3.2 8.0 Determinant of 2x2 matrix is 14.00 Inverse of Matrix 2x2 2.5714 -0.4286 -e. 2143 0.2857 A AINV 1.000 8.000 2.000 1.0000