Question

(Part B). Develop a class of 2 x 2 matrices of double precision floating point variables that has the features listed below.

1. An overridden default constructor that initializes all entries of the matrix to zero.
2. An overridden copy constructor.
3. A method that returns the inverse of the matrix, if it exists.
4. A method that multiplies a matrix by a specified double precision floating point variable.

Answer 1

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#include <iostream> using namespace std; class Matrix { double mat[2][2]; public: // default constructor (1) Matrix() { for(int i=0;i<2;i+=1) { for(int j=0;j<2;j+=1) { this->mat[i][j]=0; } } } // copy constructor (2) Matrix(Matrix &other) { for(int i=0;i<2;i+=1) { for(int j=0;j<2;j+=1) { this->mat[i][j]=other.get(i,j); } } } // Inverse Function (3) Matrix Inverse() { Matrix temp; for(int i=0;i<2;i+=1) { for(int j=0;j<2;j+=1) { temp.set(this->mat[i][j],i,j); } } double det=(this->get(0,0)*this->get(1,1))-(this->get(0,1)*this->get(1,0)); if(det==0) { cout<<endl<<"Inverse doesn't exist, returning same matrix!!!"; } else { double value=1/det; double x=temp.get(1,1); temp.set(temp.get(0,0),1,1);    temp.set(x,0,0); temp.set(-1*temp.get(0,1),0,1);    temp.set(-1*temp.get(1,0),1,0); temp.getMultiplied(value); } return temp; } // multiplier function (4) void getMultiplied(double value) { for(int i=0;i<2;i+=1) { for(int j=0;j<2;j+=1) { this->mat[i][j]*=value; } } } // print function void print() { for(int i=0;i<2;i+=1) { for(int j=0;j<2;j+=1) { cout<<this->mat[i][j]<<" "; } cout<<endl; } } // getter method double get(int i,int j) { return this->mat[i][j]; } // setter method void set(double value,int i,int j) { this->mat[i][j]=value; } }; int main() { Matrix mat; mat.set(3.0,0,0); mat.set(3.2,0,1); mat.set(3.5,1,0); mat.set(3.6,1,1); cout<<"Matrix is :\n"; mat.print(); Matrix inv=mat.Inverse(); cout<<"Inverse is :\n"; inv.print(); return 0; }