Example:
If matrix A=
1 2 3
4 5 6
7 8 9
Output: 2 . A =
2 4 6
8 10 12
14 16 18
Required knowledge:
Basic C programming, For loop, Array, MatrixScalar multiplication of matrix
Scalar multiplication of matrix is the simplest and easiest way to multiply matrix. Scalar multiplication of matrix is defined by.(cA)ij = c . Aij (Where 1 ≤ i ≤ m and 1 ≤ j ≤ n)
Program:
/** * C program to perform scalar multiplication of matrix */ #include <stdio.h> int main() { int A[3][3]; int num, row, col; /* * Reads elements in matrix from user */ printf("Enter elements in matrix of size 3x3: \n"); for(row=0; row<3; row++) { for(col=0; col<3; col++) { scanf("%d", &A[row][col]); } } /* Reads number to perform scalar multiplication from user */ printf("Enter any number to multiply with matrix A: "); scanf("%d", &num); /* * Performs scalar multiplication of matrix */ for(row=0; row<3; row++) { for(col=0; col<3; col++) { /* (cAij) = c . Aij */ A[row][col] = num * A[row][col]; } } /* * Prints the result of scalar multiplication of matrix */ printf("\nScalar multiplication of matrix A = \n"); for(row=0; row<3; row++) { for(col=0; col<3; col++) { printf("%d ", A[row][col]); } printf("\n"); } return 0; }
Output
Enter elements in matrix of size 3x3:
1 2 3
4 5 6
7 8 9
Enter any number to multiply with matrix A: 2
Scalar multiplication of matrix A =
2 4 6
8 10 12
14 16 18
1 2 3
4 5 6
7 8 9
Enter any number to multiply with matrix A: 2
Scalar multiplication of matrix A =
2 4 6
8 10 12
14 16 18
Happy coding ;)
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