Question

2 dim arrays as Matrices (30 pts) Given matrices A and B as shown below: Write functions to do each of the following jobs for 3X3 systems: initem, readem, writem, addem, subtractem, do scalar multiplication, and matrix multiplication. Do each math function using A and B below. Print each resulting solution matrix with a call to writem, along with an appropriate message. Use k = -2 for the scalar multiplication. A= 12 5 13 3 6 4 -1] 2 2 ] and B = 1 -2 lo 3 -1 2 2 1 5 -2 Note for multiplication: Cij = k=1 aik bij ; l = 1, 2, ... n; j = 1, 2, ... p

Need help with this program which needs to be done in C++

Answer 1

using namespace std;
int main()
{
int i,j,a,b, first[3][3], second[3][3], sum[3][3], subtract[3][3], multiply[3][3],scalar,scalarf[3][3],scalars[3][3];
a=b=3;
cout<<"\nEnter the scalar miltiplier:";
cin>>scalar;
cout << "\nEnter the elements of first matrix : ";
for (i=0;i<a;i++ )
{
for (j=0;j<b;j++ )
{
cin >> first[i][j];
}
}
cout << "\nEnter the elements of second matrix:";
for (i= 0 ;i< a ;i++ )
{
for (j= 0;j<b;j++ )
{
cin >> second[i][j];
}
}
for (i=0;i< a;i++ )
{
for (j=0;j<b;j++ )
{
sum[i][j] = first[i][j] + second[i][j];
subtract[i][j] = first[i][j] - second[i][j];
scalarf[i][j]=first[i][j]*scalar;
scalars[i][j]=second[i][j]*scalar;
}
}
for(i = 0; i < a; ++i)
for(j = 0; j < b; ++j)
{
multiply[i][j]=0;
}
// Multiplying matrix a and b and storing in array mult.
for(i = 0; i < a; ++i)
for(j = 0; j < b; ++j)
for(int k = 0; k < a; ++k)
{
multiply[i][j] += first[i][k] * second[k][j];
}
cout << "\nFirst matrix : "<<endl;
for (i=0 ; i < a ; i++ )
{
for ( j = 0 ; j < b ; j++ )
{
cout << first[i][j] << "\t";
}
cout << endl;

}cout << "\nSecond matrix : "<<endl;
for (i=0 ; i < a ; i++ )
{
for ( j = 0 ; j < b ; j++ )
{
cout << second[i][j] << "\t";
}
cout << endl;

}

cout << "\nSum of entered matrices : "<<endl;
for (i=0 ; i < a ; i++ )
{
for ( j = 0 ; j < b ; j++ )
{
cout << sum[i][j] << "\t";
}
cout << endl;

}
cout << "\nSubtraction of entered matrices : "<<endl;
for (i=0 ; i < a ; i++ )
{
for ( j = 0 ; j < b ; j++ )
{
cout << subtract[i][j] << "\t";
}
cout << endl;
}
cout << "\nMultiplication of entered matrices : "<<endl;
for (i=0 ; i <a ; i++ )
{
for ( j = 0 ; j < b ; j++ )
{
cout << multiply[i][j] << "\t";
}
cout << endl;
}
cout << "\nScalar multiplication of first matrix : "<<endl;
for (i=0 ; i <a ; i++ )
{
for ( j = 0 ; j < b ; j++ )
{
cout << scalarf[i][j] << "\t";
}
cout << endl;
}
cout << "\nScalar multiplication of second matrix : "<<endl;
for (i=0 ; i <a ; i++ )
{
for ( j = 0 ; j < b ; j++ )
{
cout << scalars[i][j] << "\t";
}
cout << endl;
}

return 0;
}

A matrixfunction.cpp 1 using namespace std; 2 int main() 3 { 4 int i,j,a,b, first[3] [3], second [3][3], sum[3][3], subtract[3][3], multiply[3] [3], scalar, scalarf[3] [ 3], scalars[3] [3]; 5 a=b=3; 6 cout<<"\nEnter the scalar miltiplier:"; 7 cin>>scalar; 8 cout << "\nEnter the elements of first matrix : "; 9 for (i=0; i<a;i++ ) 10 { 11 for (j=0; j<b;j++ ) 12 { 13 cin >> first[i][j]; 14 } 15 } 16 cout << "\nEnter the elements of second matrix:"; for (i= 0 ;is a ;i++ ) 18 { 19 for (j= 0; j<b;j++ ) 20 { 21 cin >> second[i][j]; 22 } 23 } 24 for (i=0;i< a;i++ ) 25 { 26 for (j=0; j<b; j++ ) 27 { 28 sum[i][j] = first[i][j] + second[i][j]; 29 subtract[i][j] = first[i][j] - second[i][j]; scalarf[i][j]=first[i][j]*scalar; 31 scalars[i][j]=second[i][j]*scalar; 32 } 33 } 34 for(i = 0; i < a; ++i) 35 for(j = 0; j < b; ++j) a Run

A 34 Tur matrixfunction.cpp - U; T a; FFT) for(j = 0; j < b; ++i) multiply[i][j]=0; // Multiplying matrix a and b and storing in array mult. for(i = 0; i < a; ++i) for(j = 0; j < b; ++j) for(int k = 0; k < a; ++k) multiply[i][j] == first[i][k] * second[k][j]; 46 cout << "\nFirst matrix : "<<endl; 47 for (i=0; j <a ; i++) 48 { 49 for (j = 0; j < b ; j++ ) 50/ 51 cout << first[i][j] << "\t"; 52 } 53 cout << endl; 55 }cout << "\nSecond matrix : "<<endl; 56 for (i=0; j <a ; j++ ) 57 { 58 for (j = 0; j < b ; j++ ) 59 { 60 cout << second[i][j] << "\t"; 61 } 62 cout << endl; 64 } 66 cout << "\nSum of entered matrices : "<<endl; 67 for (i=0 ; ; <a ; i++) 68 { Gol for Girn.ich.it) Run

matrixfunction.cpp A 72 } 73 cout << endl; 74 75 } 76 cout << "\nSubtraction of entered matrices : "<< endl; 77 for (i=0 ; i<a ; i++) 78 { 79 for (j = 0; j < b ; j++ ) 80 [ 81 cout << subtract[i][j] << "\t"; 82 } 83 cout << endl; 84 } 85 cout << "\nMultiplication of entered matrices : "<< endl; 86 for (i=0 ; j <a ; j++ ) 87 { 88 for (j = 0; j < b ; j++ ) 89 { 90 cout << multiply[i][j] << "\t"; 91 } 92 cout << endl; 93 } 94 cout << "\nScalar multiplication of first matrix : "<<endl; 95 for (i=0; j <a ; j++ ) 96 { 97 for (j = 0; j < b ; j++ ) 98 { 99 cout << scalarf[i][j] << "\t"; 100 } 101 cout << endl; 102 } 103 cout << "\nScalar multiplication of second matrix : "<<endl; 104 for (i=0 ; j <a ; i++) Run

matrixfunction.cpp A 85 cout << "\nmultiplication of entered matrices : "<< endl; 86 for (i=0; i <a ; i++) 87 { 88 for (j = 0; j < b ; j++) 89 { 90 cout << multiply[i][j] << "\t"; 91 } cout << endl; 93 } 94 cout << "\nScalar multiplication of first matrix : "<<endl; 95 for (i=0 ; <a ; i++) 96 { 97 for (j = 0; j < b ; j++) 98 { 99 cout << scalarf[i][j] << "\t"; 100 } 101 cout << endl; 102 } 103 cout << "\nScalar multiplication of second matrix : "<<endl; 104 for (i=0 ; j <a ; i++) 105 { 106 for (j = 0; j < b ; j++) 107 { 108 cout << scalars[i][j] << "\t"; 109 } 110 cout << endl; 111 } 112 113 return 0; 114 } 115 € Q Run

matrixfunction Enter the scalar miltiplier:-2 Enter the elements of first matrix : 2 3 -1 5 6 2 3 4 2 Enter the elements of second matrix:1 3 2 -2 -1 50 2 -2 First matrix : 2 3 -1 5 6 2 3 4 2 Second matrix : 1 3 2 -2 -15 O 2 - 2 Sum of entered matrices : 3 6 1 3 5 7 3 6 0 Subtraction of entered matrices : 1 0 -3 7 7 -3 3 2 4 Multiplication of entered matrices : - 4 1 21 -7 13 36 -5 9 22 Scalar multiplication of first matrix : -4 -6 2 -10 -12 -4 -6 -8 -4 Scalar multiplication of second matrix : -2 -6 -4 Run Again

matrixfunction - 4 2 Enter the elements of second matrix:1 3 2 -2 -1 50 2 -2 First matrix : 2 3 -1 5 6 2 3 4 2 Second matrix : 1 3 2 -2 -1 5 0 2 -2 Sum of entered matrices : 3 6 1 3 5 7 3 6 0 Subtraction of entered matrices : 1 0 -3 7 7 -3 3 2 4 Multiplication of entered matrices : -4 1 21 -7 13 36 -5 9 22 Scalar multiplication of first matrix : -4 -6 2 -10 -12 -4 -6 -8 -4 Scalar multiplication of second matrix : -2 -6 -4 4 2 -10 0 -4 4 Run Again

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