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
Question
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
Solution
The problem is asking to implement a function that will return the transpose of a given matrix. The transpose of a matrix is obtained by changing rows into columns and columns into rows.
Here is a simple implementation in C++:
#include <iostream>
#include <vector>
std::vector<std::vector<int>> Transpose(std::vector<std::vector<int>>& matrix) {
int rowCount = matrix.size();
int columnCount = matrix[0].size();
std::vector<std::vector<int>> transposedMatrix(columnCount, std::vector<int>(rowCount));
for (int i = 0; i < rowCount; ++i) {
for (int j = 0; j < columnCount; ++j) {
transposedMatrix[j][i] = matrix[i][j];
}
}
return transposedMatrix;
}
int main() {
std::vector<std::vector<int>> matrix = {{1, 2, 3}, {4, 5, 6}};
std::vector<std::vector<int>> transposedMatrix = Transpose(matrix);
for (const auto &row : transposedMatrix) {
for (const auto &elem : row) {
std::cout << elem << ' ';
}
std::cout << '\n';
}
return 0;
}
In this code, we first determine the number of rows and columns in the given matrix. We then create a new matrix with the number of rows and columns swapped. We then iterate over the original matrix, setting the element at position (i, j) in the transposed matrix to the element at position (j, i) in the original matrix. Finally, we return the transposed matrix.
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
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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You 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!!
Write a program to print Transpose of a matrix.First, take as input the number of cells of a square Matrix.Next, n inputs will be "n" columns separated by space for each row
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