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  1. using System;
  2.  
  3. public class RootOfSquareMatrix
  4. {
  5. 	public static void Main()
  6. 	{
  7. 		double[,] A = new double[2,2];
  8. 		double[,] B = new double[2,2];
  9. 		int[,] I = {{1, 0}, {0, 1}};
  10. 		for (int i=0; i<2; i++)
  11. 		{
  12. 			for (int j=0; j<2; j++)
  13. 			{
  14. 				A[i,j] = Convert.ToDouble(Console.ReadLine());
  15. 			}
  16. 		}
  17. 		double tr_A = A[0,0]+ A[1,1];
  18. 		double sqrt_det_A = Math.Sqrt(A[0,0]*A[1,1] - A[0,1]*A[1,0]);
  19. 		double divisor = Math.Sqrt(tr_A + 2*sqrt_det_A);
  20. 		for (int i=0; i<2; i++)
  21. 		{
  22. 			for (int j=0; j<2; j++)
  23. 			{
  24. 				B[i,j] = (A[i,j] + sqrt_det_A*I[i,j]) / divisor;
  25. 			}
  26. 		}
  27. 		Console.WriteLine("Matrix A:\n{0} {1}\n{2} {3}", A[0,0], A[0,1], A[1,0], A[1,1]);
  28. 		Console.WriteLine("Square root of matrix A:\n{0} {1}\n{2} {3}", B[0,0], B[0,1], B[1,0], B[1,1]);
  29. 	}
  30. }
  31.  
Success #stdin #stdout 0.05s 28300KB
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stdin
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5
8
13
21
stdout
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Matrix A:
5 8
13 21
Square root of matrix A:
1.1338934190276817 1.5118578920369088
2.456769074559977 4.157609203101499
https://ideone.com/cmitl3
language:
C# (NET 6.0)
created:
1 day ago
visibility:
public

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