Problem StatementRaj, a coding hobbyist, is working on a binary matrix manipulation program. He wants to create a simple tool to input binary values in the form of a matrix and display the entered binary pattern. Write a program that takes the dimensions (rows and columns) of a binary matrix as input, reads the binary values, and then displays the entered binary pattern grid.Input format :The first line of input consists of two space-separated integers r, and c, representing the number of rows and columns of the binary matrix.The next r lines consist of c space-separated binary values (0 or 1) representing the elements of the array.Output format :The output displays the entered binary pattern grid.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1 ≤ rows, cols ≤ 5Each cell of the matrix contains either 0 or 1.Sample test cases :Input 1 :4 31 0 11 1 01 1 10 0 0Output 1 :1 0 1 1 1 0 1 1 1 0 0 0 Input 2 :5 51 0 1 0 10 1 0 1 01 0 1 0 10 1 0 1 01 0 1 0 1Output 2 :1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 Input 3 :1 10Output 3 :0

Ben is studying matrices and wants to write a program that swaps two rows of a matrix (N, M), the program takes an input matrix, swaps the specified rows, and then displays the modified matrix.Assist him with the program.Input format :The first line consists of two space-separated integers N and M, representing the number of rows and columns in the matrix.The next N lines contain M space-separated integers each, representing the elements of the matrix.The last line consists of two space-separated integers r1 and r2, representing the row numbers to be interchanged.Output format :If the input row numbers r1 or r2 are invalid (less than 1 or greater than the number of rows), the output prints "Invalid row numbers".Otherwise, the modified matrix is printed after swapping the specified rows.

You are given a matrix of integers. Your task is to write a program that takes the dimensions of the matrix and its elements as input, and then prints the matrix.Input:3 31 2 34 5 67 8 9Output:1 2 34 5 67 8 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

Problem StatementHarpreet is a student learning about matrix multiplication. She wants to write a program to multiply two matrices, a and b, each of size N x N. Can you help her with the code?Write a program that takes an integer N as input and two matrices a and b of size N x N. Implement matrix multiplication and print the resulting matrix c.Note: A square matrix is where the number of rows equals the number of columns.Input format :The first line of input consists of an integer N, representing the matrix size.The next N lines consist of N space-separated elements in each line, representing the first matrix.After being separated by a new line, the next N lines consist of N space-separated elements in each line, representing the second matrix.Output format :The output prints the product of two matrices.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:2 ≤ N ≤ 80 ≤ elements ≤ 9Sample test cases :Input 1 :32 3 23 2 33 3 34 5 62 3 11 2 3Output 1 :16 23 21 19 27 29 21 30 30 Input 2 :22 22 35 07 8Output 2 :24 16 31 24 Input 3 :81 5 2 4 7 3 2 12 3 4 5 6 7 8 94 5 6 1 2 3 7 82 5 8 7 4 1 9 61 4 7 8 5 2 6 99 8 6 4 7 5 1 27 5 3 9 5 1 4 83 4 8 9 7 1 2 05 8 7 4 6 1 2 09 7 4 5 6 3 2 17 5 6 8 4 1 2 31 4 5 2 3 9 8 72 5 8 7 4 3 6 94 5 8 7 1 0 0 11 5 6 7 8 4 2 23 2 1 4 3 5 3 6Output 3 :99 131 152 141 106 88 97 115 145 200 236 248 183 155 137 181 155 177 179 207 172 108 88 113 157 201 217 233 202 166 146 169 149 186 206 223 179 176 157 194 204 243 255 231 185 110 128 136 152 208 212 197 188 177 164 179 136 178 206 184 146 133 148 159

Problem StatementHarish is developing a program for a robotics project that involves processing a 2D grid. The program requires rotating a 2D matrix 90 degrees clockwise in place.He needs to implement the rotateMatrix function to achieve this rotation without using any temporary arrays or data structures, only dynamic memory allocation. Additionally, he needs to provide functions to display the original and rotated matrices. Write a program to accomplish this task.Note: This kind of question will help in clearing HCL recruitment.Input format :The first line of the input consists of an integer 'n', which represents the size of the square matrix (n x n).The second part contains 'n x n' integers representing the elements of the matrix in row-major order.Output format :The first matrix is the original matrix.The second matrix is the matrix after a 90-degree clockwise rotation.Refer to the sample output for formatting specifications.Code constraints :1 <= n <= 100Sample test cases :Input 1 :31 2 34 5 67 8 9Output 1 :Original Matrix:1 2 3 4 5 6 7 8 9 Matrix after 90-degree clockwise rotation:7 4 1 8 5 2 9 6 3 Input 2 :-2Output 2 :Size of the matrix should be positive!Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.