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!!
Question
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!!
Solution 1
Here is a C function that calculates the transpose of a matrix and checks if the matrix is symmetric:
#include <stdio.h>
#define ROWS 3
#define COLUMNS 3
void transposeMatrix(int matrix[ROWS][COLUMNS]) {
int transpose[ROWS][COLUMNS];
int i, j;
// Calculate the transpose
for(i = 0; i < ROWS; i++) {
for(j = 0; j < COLUMNS; j++) {
transpose[j][i] = matrix[i][j];
}
}
// Print the transpose
for(i = 0; i < ROWS; i++) {
for(j = 0; j < COLUMNS; j++) {
printf("%d ", transpose[i][j]);
}
printf("\n");
}
// Check if the matrix is symmetric
for(i = 0; i < ROWS; i++) {
for(j = 0; j < COLUMNS; j++) {
if(matrix[i][j] != transpose[i][j]) {
printf("Not Symmetric!!\n");
return;
}
}
}
printf("Symmetric!!\n");
}
This function first calculates the transpose of the input matrix by swapping its rows and columns. It then prints the transpose. Finally, it checks if the original matrix is symmetric by comparing it with its transpose. If any pair of corresponding elements in the two matrices are not equal, it prints "Not Symmetric!!" and returns. If it finishes checking all elements without finding any unequal pairs, it prints "Symmetric
Solution 2
Here is a C function that calculates the transpose of a matrix and checks if the matrix is symmetric:
#include <stdio.h>
#define ROWS 3
#define COLUMNS 3
void transposeMatrix(int matrix[ROWS][COLUMNS]) {
int transpose[ROWS][COLUMNS];
int i, j;
// Calculate the transpose of the matrix
for (i = 0; i < ROWS; i++) {
for (j = 0; j < COLUMNS; j++) {
transpose[j][i] = matrix[i][j];
}
}
// Print the transpose
printf("Transpose:\n");
for (i = 0; i < ROWS; i++) {
for (j = 0; j < COLUMNS; j++) {
printf("%d ", transpose[i][j]);
}
printf("\n");
}
// Check if the matrix is symmetric
for (i = 0; i < ROWS; i++) {
for (j = 0; j < COLUMNS; j++) {
if (matrix[i][j] != transpose[i][j]) {
printf("Not Symmetric!!\n");
return;
}
}
}
printf("Symmetric!!\n");
}
You can use this function by passing a 2D array (matrix) to it. The function will print the transpose of the matrix and a message indicating whether the matrix is symmetric or not.
Similar Questions
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
ohn, 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 m
If A is an m x n matrix then AT (Transpose of A) is an n x m matrix, such that rows of A become columns of AT and columns of A become rows of AT.Given a 2D array, you have to implement the given function,int** Transpose(int** matrix, int rowCount, int columnCount);Implement the function to find the transpose of the matrix and return the new matrix as output.Input:matrix:2 46 8Output:2 64 8Explanation: Values 2 and 4 in the first row become the first column in the returned matrix.Similarly, values 6 and 8 in the second row become the second column in the returned matrix.Sample inputmatrix:1 2 3 4 5 6Sample Output1 4 2 5 3 6
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
Fill in the missing codeThe given sample code finds the transpose of a given matrix using array of pointers.Fill in the missing code so that it produces the desired output.Sample Test CasesTest Case 1:Expected Output:Enter·the·order·of·matrix·:·2 3Enter·6·elements·:·1 2 3 4 5 6The·given·matrix·is1·2·3·4·5·6·Transpose·of·the·given·matrix·is1·4·2·5·3·6·
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