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GATE | GATE-IT-2004 | Question 59

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  • Last Updated : 28 Jun, 2021

Consider the following C program which is supposed to compute the transpose of a given 4 x 4 matrix M. Note that, there is an X in the program which indicates some missing statements. Choose the correct option to replace X in the program.




#include<stdio.h>
#define ROW 4
#define COL 4
int M[ROW][COL] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16};
main()
{
    int i, j, t;
    for (i = 0; i < 4; ++i)
    {
        X
    }
    for (1 = 0; i < 4; ++i)
        for (j = 0; j < 4; ++j)
            printf ("%d", M[i][j]);
}


 

A)
for(j = 0; j < 4; ++j){
     t = M[i][j];
     M[i][j] = M[j][i];
     M[j][i] = t;
}

 

B)
for(j = 0; j < 4; ++j){
     M[i][j] = t;
     t = M[j][i];
     M[j][i] = M[i][j];
}

 

C)
for(j = i; j < 4; ++j){
     t = M[i][j];
     M[i][j] = M[j][i];
     M[j][i] = t;
}

 

D)
for(j = i; j < 4; ++j){
     M[i][j] = t;
     t = M[j][i];
     M[j][i] = M[i][j];
}

 

(A) A
(B) B
(C) C
(D) D


Answer: (C)

Explanation:

  • To compute transpose j needs to be started with i,so A and B are WRONG
  • In D, given statement is wrong as temporary variable t needs to be assigned some value and NOT vice versa
     M[i][j] = t; 

So the answer is C

Check out the correct option C at Solution: https://ide.geeksforgeeks.org/r7wbP6

 

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