static void Main(string[] args)
{
int m = int.Parse(Console.ReadLine());
int n = m; Console.WriteLine();
Matrice A = new Matrice(m, n);
Matrice B = new Matrice(m, n);
A.Generare(m, n); Console.WriteLine(A);
B.Generare(m, n); Console.WriteLine(B);
Console.WriteLine("Suma");
Matrice sum = A.Suma(B); Console.WriteLine(sum);
Console.WriteLine("Diferenta");
Matrice dif = A.Scadere(B); Console.WriteLine(dif);
Console.WriteLine("Produsul");
Matrice produs = A.Inmultire(B); Console.WriteLine(produs);
Console.WriteLine("Prima matrice ridicata la a 2-a");
Matrice putere = A.Putere(2); Console.WriteLine(putere);
Console.WriteLine("Transpusa primei matrici");
Matrice transpusa = A.Transpusa(); Console.WriteLine(transpusa);
Console.ReadKey();
}
static void Main(string[] args)
{
Matrice a = new Matrice(3, 3);
a.afisare();
Console.WriteLine();
Matrice b = new Matrice(3);
b.afisare();
Console.WriteLine();
Console.WriteLine($"Adunarea a doua matrici:");
Matrice c = a.adunare(b);
c.afisare();
Console.WriteLine($"Scaderea a doua matrici:");
Matrice d = a.scadere(b);
d.afisare();
Console.WriteLine($"Inmultire a doua matrici:");
Matrice e = a.inmultire(b);
e.afisare();
Console.WriteLine();
Console.WriteLine($"Inversa matricii:");
Matrice p = a.inversa();
p.afisare();
Console.ReadKey();
}
public Matrice Transpusa()
{
Matrice r = new Matrice(this.a, this.c);
for (int i = 0; i < a; i++)
{
for (int j = 0; j < c; j++)
{
r.SetElement(i, j, matrix[j, i]);
}
}
return(r);
}
public Matrice Suma(Matrice B)
{
int sum = 0;
Matrice r = new Matrice(this.a, this.c);
for (int i = 0; i < this.a; i++)
{
for (int j = 0; j < this.c; j++)
{
sum = matrix[i, j] + B.GetElement(i, j);
r.SetElement(i, j, sum);
}
}
return(r);
}
public Matrice Scadere(Matrice B)
{
int dif;
Matrice r = new Matrice(this.a, this.c);
for (int i = 0; i < this.a; i++)
{
for (int j = 0; j < this.c; j++)
{
dif = matrix[i, j] - B.GetElement(i, j);
r.SetElement(i, j, dif);
}
}
return(r);
}
public Matrice ridicare(Matrice a, int n)
{
Matrice ridicare = new Matrice(a.n, a.m);
ridicare = a;
if (n == 1)
{
return(a);
}
while (n != 1)
{
ridicare = ridicare.inmultire(a);
n--;
}
return(ridicare);
}
public Matrice Putere(int pow)
{
Matrice r = this;
if (pow == 1)
{
return(this);
}
else
{
for (int i = 0; i < pow - 1; i++)
{
r = r.Inmultire(this);
}
return(r);
}
}
public Matrice scadere(Matrice a)
{
if (a.n == this.n && a.m == this.m)
{
Matrice rez = new Matrice(n, m);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
rez.mat[i, j] = mat[i, j] - a.mat[i, j];
}
}
return(rez);
}
Console.WriteLine("Matricile nu se pot scade, deoarece nu au aceeasi dimensiune.");
return(null);
}
public Matrice Inmultire(Matrice B)
{
int aux;
Matrice r = new Matrice(this.a, B.c);
for (int i = 0; i < this.a; i++)
{
for (int j = 0; j < B.c; j++)
{
aux = 0;
for (int k = 0; k < this.c; k++)
{
aux += matrix[i, k] * B.GetElement(k, j);
}
r.SetElement(i, j, aux);
}
}
return(r);
}
public Matrice inmultire(Matrice a)
{
if (m == a.n)
{
Matrice rez = new Matrice(n, a.m);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
rez.mat[i, j] = 0.00;
for (int k = 0; k < a.m; k++)
{
rez.mat[i, j] += (mat[i, k] * a.mat[k, j]);
}
}
}
return(rez);
}
Console.WriteLine("Matricile nu se pot inmultii, deoarece nu au aceeasi linie-coloane.");
return(null);
}
public Matrice inversa()
{
if (this.n == this.m)
{
double d = this.det(this.mat, this.n);
if (d != 0)
{
Matrice rez = new Matrice(this.n);
Matrice temp = new Matrice(this.n);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
temp.mat[i, j] = mat[j, i];
}
}
double aux;
int semn;
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
for (int k = 0; k < n; k++)
{
aux = temp.mat[i, k];
temp.mat[i, k] = temp.mat[n - 1, k];
temp.mat[n - 1, k] = aux;
}
for (int k = 0; k < n; k++)
{
aux = temp.mat[k, j];
temp.mat[k, j] = temp.mat[k, n - 1];
temp.mat[k, n - 1] = aux;
}
semn = 1;
if (((n - 1 - i) % 2 == 0) && (i != n - 1))
{
semn *= -1;
}
if (((n - 1 - j) % 2 == 0) && (j != n - 1))
{
semn *= -1;
}
if ((i + j) % 2 == 1)
{
semn *= -1;
}
rez.mat[i, j] = semn * det(temp.mat, n - 1);
for (int k = 0; k < n; k++)
{
aux = temp.mat[i, k];
temp.mat[i, k] = temp.mat[n - 1, k];
temp.mat[n - 1, k] = aux;
}
for (int k = 0; k < n; k++)
{
aux = temp.mat[k, j];
temp.mat[k, j] = temp.mat[k, n - 1];
temp.mat[k, n - 1] = aux;
}
}
}
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
rez.mat[i, j] /= d;
}
}
return(rez);
}
Console.WriteLine("Matricea nu este inversabila. Are determinantul nul.");
return(null);
}
Console.WriteLine("Matricea nu se poate inversa. Nu este patratica.");
return(null);
}