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8. (10 pts) Let us define a new data type Matrix for representing 2-dimensional (extendable) array of float type using STL vector as shown below. A m-by-n matrix A is called \"skew symmetric\" if A is a square matrix (ie, m== n) and A[i][j] ==-AU][i] for all i *) Compose an efficient function for checking if A is skew symmetric (i.e. return true if A is skew symmetric, and false otherwise). Note that data is stored at Alilül for i0.m-1, j-0.n-1. You also need to fill in the parameter list of the function in an efficient way. typedef vectorvector Matrix: bool checkSkewSymmetric

Solution

#include<iostream>
#include<vector>
using namespace std;
typedef vector<vector<float>> Matrix;
void main()
{
int a[10][10],i,j,m,n;
Matrix x;
vector<float> y;

bool checkSkewSymmetric(Matrix m,int);
cout<<\"Enter order of square matrix: \";
cin>>m;
//Enter values for matrix
for(i=1;i<=m;i++)
{
   vector<float> temp;
   for(j=1;j<=m;j++)
   {
       cout<<\"Enter value of a[\"<<i<<\"]\"<<\"[\"<<j<<\"]:\"<<endl;
       cin>>n;
       temp.push_back(n);
      
   }
   x.push_back(temp);
  
}

//print matrix
cout<<\"Elements ofmatrix: \";
for(i=0;i<m;i++)
{
   cout<<endl;
   for(j=0;j<m;j++)
   {
   cout<<x[i][j]<<\"\\t\";
   }
}

bool result;
result = checkSkewSymmetric(x,m);
if(result)
{
   cout<<\"\ Matrix is skew symmetric\ \";
}
else
   cout<<\"\ Matrix is not skew symmetric\ \";

}

bool checkSkewSymmetric(Matrix a,int m)
{
   for(int i=0;i<m;i++)
   {
   for(int j=0;j<m;j++)
   {
   if(a[i][j]!=-a[j][i])
   {
  
       return false;
   }
   }
   }

   return true;

}