Problem statementJohn, a computer science student, is facing a challenge related to symmetric matrices in his studies. He needs to develop a program to address this issue.The core of the program is a function named checkSymmetry(i, j, a). This function will accept three parameters: i and j, representing the dimensions of the matrix, and a, which is the matrix itself. The primary task of this function is to determine whether the given matrix a is symmetric or not.Symmetry Condition:The given matrix = The transpose of the given matrixA = ATInput format :The first line of input consists of two space-separated integers, n, and m, representing the number of rows and columns in the square matrix.The second line of input consists of m space-separated integers, representing the elements of the matrix.Output format :The output displays the following format:If the matrix is symmetric, print "It is a Symmetric Matrix".If the matrix is not symmetric, print "It is not a Symmetric Matrix".If the matrix is not square."Rows not equal to columns".Refer to the sample output for the formatting specifications.Code constraints :In this scenario, the test cases fall under the following constraints:1 ≤ rows and cols ≤ 50 ≤ arr[i] ≤ 10Max_Rows and Cols = 100Sample test cases :Input 1 :3 31 4 54 3 25 2 1Output 1 :It is a Symmetric MatrixInput 2 :4 41 2 3 42 5 6 79 6 7 94 7 9 10Output 2 :It is not a Symmetric MatrixInput 3 :2 31 2 34 5 6Output 3 :Rows not equal to columns

transposeMatrixYou are developing a program for a scientific research team that works extensively with matrices. As part of a new project, the team needs a function to calculate the transpose of a given matrix. The transpose of a matrix is obtained by swapping its rows and columns.Your task is to write a C function transposeMatrix that takes a 2D array representing a matrix as input and calculates its transpose. Additionally, you should verify if the transpose matrix is symmetric, which involves comparing the matrix with its transpose to determine symmetry. Assume the number of ROWS is 3 and COLUMNS is 3.Testcases:Input:1 2 3 4 5 6 7 8 9Output1 4 72 5 83 6 9Not Symmetric!!Input:1 2 3 2 4 5 3 5 6Output:1 2 32 4 53 5 6Symmetric!!

7.25 LAB: Flip MatrixWrite a function that flips the values of an n x n matrix along its diagonal. The diagonal is defined as the elements with the same index on both axes (i.e., 0,0 or 1,1 and so on). Elements that lie on the diagonal are not changed while other elements are swapped with the opposite position (i.e., element in [1][3] switched with [3][1]). Ensure that a valid matrix is provided.Ex: If the input is:16 3 2 135 10 11 89 6 7 124 15 14 1the output is:16 5 9 4 3 10 6 15 2 11 7 14 13 8 12 1 Hint: Use nested loops to iterate through the matrix and swap the appropriate elements.

TransposeYou are developing a program for a scientific research team that works extensively with matrices. As part of a new project, the team needs a function to calculate the transpose of a given matrix. The transpose of a matrix is obtained by swapping its rows and columns.Your task is to write a C function transposeMatrix that takes a 2D array representing a matrix as input and calculates its transpose.Testcase:Input:1 2 3 4 5 6 7 8 9Output1 4 72 5 83 6 9

A mirror image of a 2D array of m*n, elements of the first and the last columns are interchanged.Second and one before the last interchanged and so on. The middle column remains fixed. Onlythe columns of a mirror image are interchanged row remains unaffected.Write a C program to do the following.a) Declare a 2D integer array called matrix of size 5 by 5.b) Input set of positive numbers and store in the array.Enter 1,1 :………….Enter 1,2 :………….Enter 1,3 :………….c) Display the array in the tabular format.5 4 3 7 68 1 2 9 27 3 4 1 03 6 9 2 31 4 9 3 0d) Find the mirror image of the matrix without using an additional array.e) Display the new array in the tabular format.6 7 3 4 52 9 2 1 80 1 4 3 73 2 9 6 30 3 9 4 1Save your program as 2AQ2b.c

Write a program to check if the given matrix is a magic square or not