Let A be a square matrix of size n x n. Consider the following program. What is the expected output? #include <stdio.h>int main() { int A[2][2]={1,2,3,4},i,j,C=100,Temp,n=2; for(i=0;i<n;i++) for(j=0;j<n;j++){ Temp = A[i][j] + C; A[i][j] = A[j][i]; A[j][i] = Temp - C; } for(i=0;i<n;i++){ for(j=0;j<n;j++) printf("%d ",A[i][j]); printf("\n"); } return 0;}
Question
Let A be a square matrix of size n x n. Consider the following program. What is the expected output? #include <stdio.h>int main() { int A[2][2]={1,2,3,4},i,j,C=100,Temp,n=2; for(i=0;i<n;i++) for(j=0;j<n;j++){ Temp = A[i][j] + C; A[i][j] = A[j][i]; A[j][i] = Temp - C; } for(i=0;i<n;i++){ for(j=0;j<n;j++) printf("%d ",A[i][j]); printf("\n"); } return 0;}
Solution
The program is written in C language. It creates a 2x2 matrix A with elements {1,2,3,4}. Then it goes through each element of the matrix, adds 100 to it, swaps it with the element at the transposed position, and subtracts 100 from it. The result is then printed out.
The output of the program will be:
2 1 4 3
This is because the elements of the matrix are swapped with their transposed positions, but the addition and subtraction of 100 is done in such a way that it doesn't affect the final values.
Similar Questions
Let A be a square matrix of size n x n. Consider the following program. What is the expected output? #include <stdio.h>int main() { int A[2][2]={1,2,3,4},i,j,C=100,Temp,n=2; for(i=0;i<n;i++) for(j=0;j<n;j++){ Temp = A[i][j] + C; A[i][j] = A[j][i]; A[j][i] = Temp - C; } for(i=0;i<n;i++){ for(j=0;j<n;j++) printf("%d ",A[i][j]); printf("\n"); } return 0;}
Aryan is an enthusiastic young programmer who loves exploring matrices. Aryan is currently working on a program to calculate the sum of all even elements in a square matrix. He needs your help to complete the code.Write a program to assist Aryan in achieving his goal. The program should take an integer N as input, representing the size of a square matrix. Then, the program should read the elements of the matrix and calculate the sum of all even elements. Finally, it should print the total sum.Input format :The first line consists of a single integer N, representing the size of the square matrix.The next N lines contain N space-separated integers, representing the elements of the square matrix.Output format :If there are even elements in the matrix, display the sum of all even elements.If there are no even elements in the matrix, display "0".Refer to the sample output for the formatting specifications.Code constraints :
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
Given a matrix, write a program to calculate the average of all its elements.Input:The input consists of two integers, m and n, representing the number of rows and columns in the matrix, respectively. This is followed by m lines, each containing n integers representing the elements of the matrix.Output:Print the average of all elements in the matrix.
Write a program to find the normal of a matrix.Input format :The first line of the input consists of the value of N.The second line of the input consists of matrix elements.Output format :The output prints the normal of the given matrix.Refer to the sample input and output for format specifications.Sample test cases :Input 1 :51 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 5Output 1 :16Input 2 :41 2 3 45 6 7 89 10 11 1213 14 15 16Output 2 :38
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