We will learn about how to create a program to calculate matrix with dynamics (free) order using C++ programming language
Dev C++ 5.11
-Intermediate
This program was created to help users calculate a matrix with a dynamic (free) order there are no provisions for special orders are entered into the program. for the example, you can input the order 2x3 and 2x4. for the example, you can input the order 2x3 and 2x4.
Theory
the matrix is the order of the numbers in a rectangular shape and is flanked by a cage "( ) or" brackets "[ ]". A notation on the right matrix with the letters capital. A matrix has the size of the order. The order of the matrix-shaped axb with a lot of rows and b many columns.
Brackets are used to enclose the matrix members can be either ordinary parentheses or square brackets. Each number on the matrix is called the matrix of elements (elements). A collection of elements that are pre-arranged horizontally is called rows, while the collection of elements that are pre-arranged a vertically is called the column. A matrix which has m rows and n columns is called n x m matrix and is referred to as the matrix has order m x n matrix Writing. using capital letters and bold.
code for program:
using namespace std
int main(void)
{
int A[100][100],B[100][100],C[100][100],i,j,k,RowsA,ColumnA,RowsB,ColumnB,RowsC,ColumnC;
cout<<"Created By:\n";
cout<<"~Baixiian~\n";
//Enter the order of the matrix A
cout<<"Enter the order of the matrix A:"<<endl;
cout<<"======================="<<endl;
cout<<"The number of rows:";
cin>>RowsA;
cout<<"The number of Columns :";
cin>>ColumnA;
//Select the number of matrix A
cout<<"Select the number of matrix A:"<<endl;
cout<<"========================="<<endl;
for(i=0;i<RowsA;i++)
{
for(j=0;j<ColumnA;j++)
{
cout<<"\nElements of "<<(i+1)<<","<<(j+1)<<":";
cin>>A[i][j];
}
}
//Print A matrix
cout<<"\nMatrix A: \n";
for(i=0;i<RowsA;i++)
{
for(j=0;j<ColumnA;j++)
{
cout<<setw(4)<<A[i][j];
}
cout<<endl;
}
//Enter the order of the matrix B
cout<<"Enter the order of the matrix B:"<<endl;
cout<<"======================="<<endl;
cout<<"The Number of rows:";
cin>>RowsB;
cout<<"The number of column:";
cin>>ColumnB;
//Select the number of matrix B
cout<<"Select the number of matrix B:"<<endl;
cout<<"========================="<<endl;
for(i=0;i<RowsB;i++)
{
for(j=0;j<ColumnB;j++)
{
cout<<"\nElements of "<<(i+1)<<","<<(j+1)<<";";
cin>>B[i][j];
}
}
//Print B matrix
cout<<"\nMatrix B : \n";
for(i=0;i<RowsB;i++)
{
for(j=0;j<ColumnB;j++)
{
cout<<setw(4)<<B[i][j];
}
cout<<endl;
}
//the operation of multiplication
for(i=0;i<RowsA;i++)
{
for(j=0;j<ColumnB;j++)
{
C[i][j]=0;
for(k=0;k<RowsB;k++)
{
C[i][j]+=A[i][k]*B[k][j];
}
}
}
//Showing result
cout<<"\nMatrix C, Result : \n";
cout<<"==================\n";
for(i=0;i<RowsA;i++)
{
for(j=0;j<ColumnB;j++)
{
cout<<setw(4)<<C[i][j];
}
cout<<endl;
}
cout<<"The amount above is the result from the matrix A&B that you have input";
return 0;
}
result work:
When the program starts it will pop up the title (header) that asks the user to enter the values for the rows and columns of the matrix A. After you enter the number of rows and columns of the matrix A, the User will then be prompted to enter the number or the element will be placed on the columns and rows in A matrix.
Following are the results of the input matrix A with the value of the number of rows 2 and column 4.
Elements:
The results in the form of a matrix:
After the value or element to appear in A matrix on the next program will be followed by a command to the user to enter a number for the row and column that are organized on a matrix B.
First, the user will be prompted to enter the number of rows, exemplified here by entering the 2 rows and then the program will prompt the user to enter the number of columns that will be shown in matrix B. for the column using 3 for the example.
After you enter the number of rows and columns, then the User will be prompted to enter values or elements that will be shown.
The results of the input element are shown in the form of a matrix B:
Furthermore, the result of the multiplication between the matrices A and B will appear as matrix the following example from c. results of the multiplication Matrix A and B:
On the program limits the number of rows and columns that are defined for matrices A, B, and C is 100 for each row and columns.