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Rotate Matrix by 90 Degrees

Question

Rotate Matrix by 90 Degrees

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Solution

Sure, here is a step-by-step guide on how to rotate a matrix by 90 degrees:

  1. Transpose the Matrix: The first step is to transpose the matrix. This means that you swap the row and column indices of each element. In other words, transpose of A[i][j] will be A[j][i].

  2. Reverse each Row: After transposing the matrix, the next step is to reverse each row. You can do this by swapping elements of each row starting from the first and last element and then moving towards the center.

Here is a Python code snippet that demonstrates this:

def rotateMatrix(mat):
    N = len(mat[0])

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Similar Questions

Given a 2D square matrix, rotate the matrix by 90 degrees in clockwise manner.Note: Try to solve it by first scanning the matrix, then do an in-place rotation and then print the rotated matrix.Input FormatFirst line of input contains T - number of test cases. First line of each test case contains N - size of the matrix [NxN]. Its followed by N lines each containing N integers - elements of the matrix.Constraints1 <= T <= 1001 <= N <= 100-100 <= ar[i][j] <= 100Output FormatFor each test case, print the rotated matrix, separated by newline.Sample Input 041121 24 331 2 38 9 47 6 55-44 25 -52 69 -5 17 22 51 27 -44 -79 28 -78 1 -47 65 -77 -14 -21 -6 -96 43 -21 -20 90 Sample Output 0Test Case #1:1 Test Case #2:4 1 3 2 Test Case #3:7 8 1 6 9 2 5 4 3 Test Case #4:-96 65 -79 17 -44 43 -77 28 22 25 -21 -14 -78 51 -52 -20 -21 1 27 69 90 -6 -47 -44 -5

how do i transform matrices

#include <iostream>#include <vector>void rotateMatrix(int** matrix, int n) { // Transpose the matrix for (int i = 0; i < n; i++) { for (int j = i; j < n; j++) { std::swap(matrix[i][j], matrix[j][i]); } } // Reverse each row for (int i = 0; i < n; i++) { int left = 0; int right = n - 1; while (left < right) { std::swap(matrix[i][left], matrix[i][right]); left++; right--; } }}void printMatrix(int** matrix, int n) { for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { std::cout << matrix[i][j] << ' '; } std::cout << std::endl; }}int main() { int n; std::cin >> n; if (n <= 0) { std::cout << "Size of the matrix should be positive!" << std::endl; return 0; } // Allocate dynamic memory for the matrix int** matrix = new int*[n]; for (int i = 0; i < n; i++) { matrix[i] = new int[n]; } // Read the matrix elements for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { std::cin >> matrix[i][j]; } } std::cout << "Original Matrix:" << std::endl; printMatrix(matrix, n); rotateMatrix(matrix, n); std::cout << "Matrix after 90-degree clockwise rotation:" << std::endl; printMatrix(matrix, n); // Deallocate the dynamic memory for (int i = 0; i < n; i++) { delete[] matrix[i]; } delete[] matrix; return 0;}

Which of the following matrix should I use if I want to rotate a line by 30 degree?A. [1–√/2:3/2;3/2:1–√/2]B. [3–√/2:−1/2;1/2:3–√/2]C. [1–√/2:−1/2;1/2:1–√/2]D. [30 : -1/2; 1/2 : 30]

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.

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