Question

Transpose of array A[2][2]={2,3,6,8) is
Options
O {2,6,3,8)
O (2,8.6,3)
O (8,6,3,2)
O (2,3,6,8)
​

Answer 1

Given :     $A=\left[\begin{array}{ccc}2&3\\6&8\end{array}\right]$

To Find :    Transpose

$\left[\begin{array}{ccc}2&6\\3&8\end{array}\right]$

$\left[\begin{array}{ccc}2&8\\6&3\end{array}\right]$

$\left[\begin{array}{ccc}8&6\\3&2\end{array}\right]$

$\left[\begin{array}{ccc}2&3\\6&8\end{array}\right]$

Solution:

Transpose of  aij  = aji

$A=\left[\begin{array}{ccc}2&3\\6&8\end{array}\right]$

a₁₁  = 2

a₁₂ = 3

a₂₁ = 6

a₂₂ = 8

Transpose  of  A

   a₁₁  a₂₁

  a₁₂    a₂₂

   2    6

   3     8

$\left[\begin{array}{ccc}2&6\\3&8\end{array}\right]$  is transpose of  $\left[\begin{array}{ccc}2&3\\6&8\end{array}\right]$

$\left[\begin{array}{ccc}2&6\\3&8\end{array}\right]$  is correct answer

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Answer 2

#include<iostream>

using namespace std;

int main()

{

int r,c;

cout<<"Enter no. of rows : ";

cin>>r;

cout<<"Enter no. of columns : ";

cin>>c;

int A[r][c];

cout<<"Enter elements of the matrix from left to right (row wise) : "<<endl;

for(int i=0;i<r;i++)

{

 for(int j=0;j<c;j++)

 {

  cin>>A[i][j];

 }

}

cout<<"Original matrix :"<<endl;

for(int i=0;i<r;i++)

{

 for(int j=0;j<c;j++)

 {

  cout<<A[i][j]<<" ";

 }

 cout<<endl;

}

cout<<"Transpose of matrix :"<<endl;

for(int i=0;i<c;i++)

{

 for(int j=0;j<r;j++)

 {

  cout<<A[j][i]<<" ";

 }

 cout<<endl;

}

}