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#include <iostream>
#include <cmath>
using namespace std;
class Matrix
{
public:
Matrix();
//Matrix(const Matrix&);
Matrix(double);
Matrix(Matrix&, int);
void Print();
double Det(Matrix&);
Matrix InvMat(Matrix&);
Matrix& Multiply(Matrix&,double);
~Matrix();
//void MatrixInput(Matrix**);
Matrix operator=(Matrix);
Matrix& operator-(Matrix&);
friend Matrix& operator+(Matrix&, Matrix&);
friend Matrix& operator-(Matrix&, Matrix&);
private:
double** Arr;
int mi = 2;
int mj = 2;
};
//Constructor to dynamically allocate memory for the matrix and initialise values to 0.0.
//1. An overridden default constructor that initialises all entries of the matrix to zero.
Matrix::Matrix()
{
Arr = new double* [mi];
for (int x = 0; x < mi; x++)
{
Arr[x] = new double[mj];
}
for (int r = 0; r< mi; r++)
{
for (int c= 0; c < mj; c++)
{
Arr[r][c] = 0.0;
}
}
}
Matrix::Matrix(double x)
{
Arr = new double* [mi];
for (int x = 0; x < mi; x++)
{
Arr[x] = new double[mj];
}
for (int i = 0; i < mi; i++)
{
for (int j = 0; j < mj; j++)
{
Arr[i][j] = x;
}
}
}
Matrix::~Matrix()
{
for (int i = 0; i < mi; ++i)
{
delete[] Arr[i];
}
delete[] Arr;
}
//2. An overridden copy constructor.
Matrix::Matrix(const Matrix& copyArr)
{
Arr = new double* [2];
for (int x = 0; x < 2; x++)
{
Arr[x] = new double[2];
}
for (int r = 0; r < mi; r++)
{
for (int c = 0; c < mj; c++)
{
Arr[r][c] = 0.0;
}
}
for (int r = 0; r < mi; r++)
{
for (int c = 0; c < mj; c++)
{
Arr[r][c] = copyArr.Arr[r][c];
}
}
}
/*3. A constructor that specifies the four entries of the matrix and
allocates these entries appropriately*/
Matrix::Matrix(Matrix& m, int n)
{
Arr = new double* [mi];
for (int x = 0; x < mi; x++)
{
Arr[x] = new double[mj];
}
for (int r = 0; r < mi; r++)
{
for (int c = 0; c < mj; c++)
{
Arr[r][c] = 0.0;
}
}
for (int i = 0; i < mi; i++)
{
for (int j = 0; j < mj; j++)
{
cout << "What is the value to go in element [" << i << "]" << "[" << j << "]" << endl;
cin >> Arr[i][j];
}
}
}
void Matrix::Print()
{
cout << "{";
for (int i = 0; i < mi; i++)
{
for (int j = 0; j < mj; j++)
{
cout << Arr[i][j] << ", ";
}
cout << endl;
}
cout << "}" << endl;
}
/*4. A method(function) that returns the determinant of the matrix.*/
double Matrix::Det(Matrix& m)
{
double det = 0.0;
det = (m.Arr[0][0] * m.Arr[1][1]) - (m.Arr[0][1] * m.Arr[1][0]);
return det;
}
/*5. A method that returns the inverse of the matrix, if it exists.*/
/*In other words: swap the positions of a and d, put negatives in front
of b and c, and divide everything by the determinant (ad-bc).*/
Matrix Matrix::InvMat(Matrix& m)
{
m.Arr[0][0] = m.Arr[1][1];
m.Arr[0][1] = -1 * m.Arr[0][1];
m.Arr[1][0] = -1 * m.Arr[1][0];
for (int i = 0; i < 2; i++)
{
for (int j = 0; j < 2; j++)
{
m.Arr[i][j] = m.Arr[i][j] / Det(m);
}
}
return m;
}
/*9. A method that multiplies a matrix by a specified double precision floating point variable.*/
Matrix& Matrix::Multiply(Matrix& m, double x)
{
Matrix M(0.0);
for (int i = 0; i < mi; i++)
{
for (int j = 0; j < mj; j++)
{
M.Arr[i][j] = m.Arr[i][j] * x;
}
}
return M;
}
/*6. Overloading of the assignment operator, allowing us to write code such as A = B; for
instances of the
class Aand B.*/
Matrix Matrix::operator=(Matrix m)
{
Matrix M(0.0);
for (int i = 0; i < 1; i++)
{
for (int j = 0; j < 1; j++)
{
M.Arr[i][j] = m.Arr[i][j];
}
}
return M;
}
/*7. Overloading of the unary subtraction operator, allowing us to write code such as A = -B;
for instances
of the class Aand B.*/
Matrix& Matrix::operator-(Matrix& m)
{
for (int i = 0; i < mi; i++)
{
for (int j = 0; j < mj; j++)
{
Arr[i][j] = -1 * m.Arr[i][j];
}
}
return *this;
}
/*8. Overloading of the binary addition and subtraction operators, allowing us to write code
such as A = B + C; or A = B - C; for instances of the class A, Band C.*/
Matrix& operator+(Matrix& x, Matrix& y)
{
Matrix Arr(0.0);
for (int i = 0; i < 2; i++)
{
for (int j = 0; j < 2; j++)
{
Arr.Arr[i][j] = x.Arr[i][j] + y.Arr[i][j];
}
}
return Arr;
}
Matrix& operator-( Matrix& x, Matrix& y)
{
Matrix Arr(0.0);
for (int i = 0; i < 2; i++)
{
for (int j = 0; j < 2; j++)
{
Arr.Arr[i][j] = x.Arr[i][j] - y.Arr[i][j];
}
}
return Arr;
}
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