ASSIGNMENT 4 Problem 1: The nverse of a square matrix A is the matri A, sucat AA1-1, where I, is the Identity Matrix. equaro matrix has an inverso iff (if and only if) tho doterminant a Tho matrix having an inverso is called a nonsingular, or invertible matrix. Now develop a C++program using functions to calculate the inverse of a nonsingular matrix. The program should be capable of checking if the given matrix is singular or nonsingular 11 12 a13 A=| a21 a22 a23 as as2 as The inverse of the above matrix is given by a2 023 32 33 013 a2 @g3 32 012 13 022 023 a2s 21 a11 a1s 013 11 det(A)a a a33a3 a21 21 2 21 32 a12 032 91 021 22 a. Draw a detailed flow chart on how this program is designed, indicating the inputa, outputs and the algorithm you use. The fow chart should be included as a document file along with your program listing (source code). 5 Points b. Using equations 1 and 2, develop aCprogram with two functione named matrixInvese) that returns the inverse of the matrix, and function matrir Prin that prints the matrix in the proper order. The program 10 Points should have the capability of identifying a singular or non-singular matrix. c. In the same document file, prepare a help section with two sample input-output screens indicating the 5 Points input matrix and output of the inverse trix. Indicate singular and non-singular matrices ASSIGNMENT 4 Problem 1: The nverse of a square matrix A is the matri A, sucat AA1-1, where I, is the Identity Matrix. equaro matrix has an inverso iff (if and only if) tho doterminant a Tho matrix having an inverso is called a nonsingular, or invertible matrix. Now develop a C++program using functions to calculate the inverse of a nonsingular matrix. The program should be capable of checking if the given matrix is singular or nonsingular 11 12 a13 A=| a21 a22 a23 as as2 as The inverse of the above matrix is given by a2 023 32 33 013 a2 @g3 32 012 13 022 023 a2s 21 a11 a1s 013 11 det(A)a a a33a3 a21 21 2 21 32 a12 032 91 021 22 a. Draw a detailed flow chart on how this program is designed, indicating the inputa, outputs and the algorithm you use. The fow chart should be included as a document file along with your program listing (source code). 5 Points b. Using equations 1 and 2, develop aCprogram with two functione named matrixInvese) that returns the inverse of the matrix, and function matrir Prin that prints the matrix in the proper order. The program 10 Points should have the capability of identifying a singular or non-singular matrix. c. In the same document file, prepare a help section with two sample input-output screens indicating the 5 Points input matrix and output of the inverse trix. Indicate singular and non-singular matrices