public static double MatrixDeterminant_2By2(double [,] arr, int rows, int cols)
{
double det = 0.0;
if (!MatrixCalcultator.isSquaredMatrix(rows, cols))
{
Console.WriteLine("Your Matrix is not a Squared Matrix hence, you can not calculate its dtereminant");
}
else
{
det = (arr[0, 0] * arr[1, 1]) - (arr[0, 1] * arr[1, 0]);
}
return(det);
}
private static double[,] MatrixMultiplication_4By4(double[,] arr, int rows, int cols)
{
double[,] matMultiply = new double[rows, cols];
if (!MatrixCalcultator.isSquaredMatrix(rows, cols))
{
Console.WriteLine("Your Matrix is not a Squared Matrix hence, you can not calculate its dtereminant");
}
else
{
matMultiply[cols, rows] += arr[rows, cols] * arr[cols, rows];
}
return(matMultiply);
throw new NotImplementedException();
}
public static double MatrixDeterminant_4By4(double[,] arr, int rows, int cols)
{
double det = 0.0;
if (!MatrixCalcultator.isSquaredMatrix(rows, cols))
{
Console.WriteLine("Your Matrix is not a Squared Matrix hence, you can not calculate its dtereminant");
}
else
{
double a = (arr[0, 0] * (arr[1, 1] * (arr[2, 2] * arr[3, 3]) - (arr[2, 3] * arr[3, 2])) - (arr[1, 2] * (arr[2, 1] * arr[3, 3]) - (arr[2, 3] * arr[3, 1])) + (arr[1, 3] * (arr[2, 1] * arr[3, 2]) - (arr[2, 2] * arr[3, 1])));
double b = (-arr[0, 1] * (arr[1, 0] * (arr[2, 2] * arr[3, 3]) - (arr[2, 3] * arr[3, 2])) - (arr[1, 2] * (arr[2, 0] * arr[3, 3]) - (arr[2, 3] * arr[3, 0])) + (arr[1, 3] * (arr[2, 0] * arr[3, 2]) - (arr[2, 2] * arr[3, 0])));
double c = (arr[0, 2] * (arr[1, 0] * (arr[2, 1] * arr[3, 3]) - (arr[2, 3] * arr[3, 1])) - (arr[1, 1] * (arr[2, 0] * arr[3, 3]) - (arr[2, 3] * arr[3, 0])) + (arr[1, 3] * (arr[2, 0] * arr[3, 1]) - (arr[2, 1] * arr[3, 0])));
double d = (-arr[0, 3] * (arr[1, 0] * (arr[2, 1] * arr[3, 2]) - (arr[2, 2] * arr[3, 1])) - (arr[1, 1] * (arr[2, 0] * arr[3, 2]) - (arr[2, 2] * arr[3, 0])) + (arr[1, 3] * (arr[2, 0] * arr[3, 1]) - (arr[2, 1] * arr[3, 0])));
det = a + b + c + d;
}
return(det);
}
public static void PromptUser()
{
/* Prompts the user to dtermine the dimension or rank of its array or Matrix and also generets the array*/
try
{
Console.WriteLine("How many dimensionsal array do you want to have?" + "");
int arrayDimension = int.Parse(Console.ReadLine());
Console.WriteLine();
if (arrayDimension > 1)
{
Console.WriteLine("***************You are Welcome to Multi-Dimensiosnal Array/Matrix Generator**************");
Console.WriteLine();
Console.WriteLine(new string ('-', 120));
int rows;
int cols;
switch (arrayDimension)
{
case 2: //Generates a 2 -Dimensional Array
Console.WriteLine("You have entered {0}, so a {0} " + "- Dimensional Array in the format \"[a , b]\" will be generated for you", arrayDimension);
Console.WriteLine();
Console.WriteLine("Please enter the number of rows of your Matrix");
rows = int.Parse(Console.ReadLine());
Console.WriteLine("Please enter the number of columns of your Matrix");
cols = int.Parse(Console.ReadLine());
Console.WriteLine("You are about to generate a {0} " + "- Dimensional Array of a {1} by {2} Matrix", arrayDimension, rows, cols);
Console.WriteLine();
Console.WriteLine();
Console.WriteLine("The following will prompt you to enter a total of {0} elements in the {1} by {2} Matrix", rows * cols, rows, cols);
Console.WriteLine();
double[,] array2D = new double[rows, cols];
/* Accepts each elements of the Matrix to be created from the user*/
int i, j = 0;
for (i = 0; i < rows; i++)
{
for (j = 0; j < cols; j++)
{
Console.WriteLine("Please enter the elements in the Matrix in the [{0} , {1}] ", i, j);
array2D[i, j] = int.Parse(Console.ReadLine());
}
}
/* Prints to the Console the Matrix created by the User to the Console*/
Console.Write("The Matrix created is : ");
Console.WriteLine();
for (i = 0; i < array2D.GetLength(0); i++)
{
for (j = 0; j < array2D.GetLength(1); j++)
{
Console.Write("{0}" + " ", array2D[i, j]);
}
Console.WriteLine("\n");
}
double elementCount = array2D.Length;
Console.WriteLine("Number of element in the array is : {0}", elementCount);
Console.WriteLine();
Console.Write("Your matrix is a {0} by {1} Matrix", rows, cols);
//Console.WriteLine("Number of rows is {0}", array2D.GetLength(0));
//Console.WriteLine("Number of cols is {0}", array2D.GetLength(1)-2);
Console.WriteLine();
Console.WriteLine("Would you like to calculate its determinant?");
string deterAns = Console.ReadLine();
string ans = deterAns.ToLower();
if (ans == "yes")
{
if (elementCount == 4)
{
Console.WriteLine();
double determinant = MatrixDeterminant_2By2(array2D, rows, cols);
Console.WriteLine(" The determinanat of the matrix above is {0} matrix ", determinant);
Console.ReadLine();
}
else if (elementCount == 9)
{
Console.WriteLine();
double determinant = MatrixDeterminant_3By3(array2D, rows, cols);
Console.WriteLine(" The determinanat of the matrix above is {0} matrix ", determinant);
Console.ReadLine();
}
//Matrix Determinant CALCULATION
else if (elementCount == 16)
{
Console.WriteLine();
double determinant = MatrixDeterminant_4By4(array2D, rows, cols);
Console.WriteLine(" The determinanat of the matrix above is {0} matrix ", determinant);
//Matrix Multiplication
Console.WriteLine("Would you like to find the multiplication of the Matrix?");
string multiplyMatrrixans = Console.ReadLine();
string multiplyMatrrixansLower = deterAns.ToLower();
if (multiplyMatrrixansLower == "yes")
{
Console.WriteLine();
double[,] matrixMulipliction = new double[rows, cols];
matrixMulipliction = MatrixMultiplication_4By4(array2D, rows, cols);
Console.WriteLine(" The Multiplication of Square of the matrix above is matrix ");
//Displaying the MAatrix mulitolication result to the Console
for (i = 0; i < matrixMulipliction.GetLength(0); i++)
{
for (j = 0; j < matrixMulipliction.GetLength(1); j++)
{
Console.Write("{0}" + " ", matrixMulipliction[i, j]);
}
Console.WriteLine("\n");
}
Console.ReadLine();
}
}
}
if (!MatrixCalcultator.isSquaredMatrix(rows, cols))
{
Console.WriteLine("Your Matrix is not a Squared Matrix hence, you can not calculate its dtereminat");
}
{
}
Console.ReadLine();
if (rows > 1 && cols > 1)
{
}
Console.ReadLine();
break;
default:
break;
}
}
else
{
Console.WriteLine("Only a single dimension Array or Matrx can be genereted based on the number {0} that you entered", arrayDimension);
Console.ReadLine();
}
}
catch (Exception ex)
{
Console.WriteLine(ex.Message);
}
}
static void Main(string[] args)
{
MatrixCalcultator.PromptUser();
}