The Perfect Matrix Multiplication C Sharp Programming Tutorial Program in a C# 5.0 Console Application
The logic for multiplying the two matrices is shown below in the image:
Please Note:
** Do not Copy & Paste code written here ; instead type it in your Development Environment
** Testing done in .Net Framework 4.5 but code should be very similar for previous versions of .Net
** All Program Codes written here are 100% tested & running.
- Multiply any number of rows with any number of columns
- Check for Matrices with invalid rows and Columns
- Ask for entry of valid Matrix elements if value entered is invalid
- All work done in .Net Framework 4.5
- The code has a main class which consists of 3 functions
- The first function reads valid elements in the Matrix Arrays
- The second function Multiplies matrices with the help of for loop
- The third function simply displays the resultant Matrix
- Check for the source code at the end.
The Function ReadMatrix() basically reads the values of all elements of the two matrices that are to be multiplied. Also, prior to reading, the matrices are defined in their number of rows and columns. Note that to multiply two matrices we need the number of columns of first matrix to be equal to the number of rows of second matrix. So, when we multiplying Mat A x Mat B, number of columns of A should be equal to number of rows in B. Also note that A x B is not equal to B x A.
public void ReadMatrix()
public void ReadMatrix()
{
Console.WriteLine("****************************************************");
Console.WriteLine("*********http://www.code-kings.blogspot.com*********");
Console.WriteLine("****************************************************\n");
Console.WriteLine("\nPlease
Enter Details of First Matrix");
Console.Write("\n*Number
of Rows in First Matrix : ");
int m = int.Parse(Console.ReadLine());
Console.Write("\n*Number of Columns in First Matrix : ");
int n = int.Parse(Console.ReadLine());
a
= new int[m,
n];
Console.WriteLine("\n*Enter
the elements of First Matrix : ");
for (int i = 0; i
< a.GetLength(0); i++)
{
for (int
j = 0; j < a.GetLength(1); j++)
{
try
{
Console.WriteLine("Enter
Element " + (1 + i).ToString() + "
" + (1 + j).ToString());
a[i, j] = int.Parse(Console.ReadLine());
Console.WriteLine(" Value Accepted");
}
catch
{
try
{
Console.WriteLine("Enter
Element " + (1 + i).ToString() + "
" + (1 + j).ToString());
Console.WriteLine("\nPlease
Enter a Valid Value");
a[i, j] = int.Parse(Console.ReadLine());
Console.WriteLine(" Value Accepted");
}
catch
{
Console.WriteLine("\nPlease
Enter a Valid Value(Final Chance)");
Console.WriteLine("Enter
Element " + (1 + i).ToString() + "
" + (1 + j).ToString());
a[i, j] = int.Parse(Console.ReadLine());
Console.WriteLine(" Value Accepted");
}
}
}
}
Console.WriteLine("\nPlease
Enter Details of Second Matrix");
Console.Write("\n**Number
of Rows in Second Matrix :");
m
= int.Parse(Console.ReadLine());
Console.Write("\n**Number
of Columns in Second Matrix :");
n
= int.Parse(Console.ReadLine());
b
= new int[m,
n];
Console.WriteLine("\n**Please
Enter Elements of Second Matrix:");
for (int i = 0; i
< b.GetLength(0); i++)
{
for (int
j = 0; j < b.GetLength(1); j++)
{
try
{
Console.WriteLine("Enter
Element " + (1 + i).ToString() + "
" + (1 + j).ToString());
b[i, j] = int.Parse(Console.ReadLine());
Console.WriteLine(" Value Accepted");
}
catch
{
try
{
Console.WriteLine("\nPlease
Enter a Valid Value");
b[i, j] = int.Parse(Console.ReadLine());
Console.WriteLine(" Value Accepted");
}
catch
{
Console.WriteLine("\nPlease
Enter a Valid Value(Final Chance)");
b[i, j] = int.Parse(Console.ReadLine());
Console.WriteLine(" Value Accepted");
}
}
}
}
}
public void
PrintMatrix()
{
Console.WriteLine("\nFirst
Matrix:");
for (int i = 0; i
< a.GetLength(0); i++)
{
for (int
j = 0; j < a.GetLength(1); j++)
{
Console.Write("\t" + a[i, j]);
}
Console.WriteLine();
}
Console.WriteLine("\n
Second Matrix:");
for (int i = 0; i
< b.GetLength(0); i++)
{
for (int
j = 0; j < b.GetLength(1); j++)
{
Console.Write("\t" + b[i, j]);
}
Console.WriteLine();
}
Console.WriteLine("\n
Resultant Matrix by Multiplying First & Second Matrix");
for (int i = 0; i
< c.GetLength(0); i++)
{
for
(int j = 0; j < c.GetLength(1); j++)
{
Console.Write("\t" + c[i, j]);
}
Console.WriteLine();
}
Console.WriteLine("Do
You Want To Multiply Once Again (Y/N)");
if (Console.ReadLine().ToString()
== "y" || Console.ReadLine().ToString()
== "Y" || Console.ReadKey().ToString()
== "y" || Console.ReadKey().ToString()
== "Y")
{
MatrixMultiplication mm = new MatrixMultiplication();
mm.ReadMatrix();
mm.MultiplyMatrix();
mm.PrintMatrix();
}
else
{
Console.WriteLine("\nMatrix Multiplication\n");
Console.ReadKey();
Environment.Exit(-1);
}
}
The logic for multiplying the two matrices is shown below in the image:
A row of the first Matrix and Column of the second Matrix are taken. The corresponding terms are multiplied and added together and stored in a location that is specified by the Row Number of Matrix A and Column Number of Matrix B. The simplest way to do this in your code is to add a total of 3 for loops. The first two loops simulate the Row Number and Column Number. The third for loop adds the three multiplied pair elements together and stores their result in the C Matrix. Watch the code below:
public void
MultiplyMatrix()
{
if (a.GetLength(1) == b.GetLength(0))
{
c = new int[a.GetLength(0),
b.GetLength(1)];
for (int
i = 0; i < c.GetLength(0); i++)
{
for (int
j = 0; j < c.GetLength(1); j++)
{
c[i, j] = 0;
for (int k = 0; k <
a.GetLength(1); k++) // OR k<b.GetLength(0)
c[i, j] = c[i, j] +
a[i, k] * b[k, j];
}
}
}
else
{
Console.WriteLine("\n Number of columns in First Matrix should be
equal to Number of rows in Second Matrix.");
Console.WriteLine("\n Please re-enter correct dimensions.");
Environment.Exit(-1);
}
}
** Do not Copy & Paste code written here ; instead type it in your Development Environment
** Testing done in .Net Framework 4.5 but code should be very similar for previous versions of .Net
** All Program Codes written here are 100% tested & running.
