Thank you for your helpful answerIts necessary for you to pa

Thank you for your helpful answer!(It\'s necessary for you to pay attention to the given information)

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 (i.e. m == n) and A[i][j] == -A[j][i] for all i notequalto j. 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 A[i][j] for i = 0..m - 1, j = 0..n - 1. You also need to fill in the parameter list of the function in an efficient way. typedef vector Matrix; bool checkSkewSymmetric}

Solution

typedef vector <vector<float>>Matrix;

bool checkSkewSymmetric(const Matrix &A)

{

int rows=A.size(),cols=A[0].size;

if(rows!=cols)

return false; //not a square matirx

for( int i=0;i<rows-1;++i) {

for(int j=i+1;j<rows;++j) {

if(A[i][j]!=-A[j][i]

return false; //not a skew symmetric

}

}

return true; //skew symmetric

}