Lab-6
Questions
Question-1
// Preprocessor directives.
#include <stdio.h>
int main() // Start main.
{ // Start.
// Variable initialisations.
const int s = 50; // 2D array size.
int Matrix[s][s];
int row_dimension, column_dimension;
int symmetric; // Flag variable.
// Read matrix from user.
printf("Matrix dimensions: \n");
scanf("%d %d", &row_dimension, &column_dimension);
printf("Matrix values [row-wise]: \n");
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
scanf("%d", &Matrix[i][j]);
}
}
// Display matrix.
printf("\nMatrix [Dimensions: %d x %d]: \n", row_dimension, column_dimension);
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
printf(" %d \t", Matrix[i][j]);
}
printf("\n");
}
// Check for symmetric.
if (row_dimension != column_dimension)
{
printf("Given matrix is not a square matrix.\n");
}
else
{
symmetric = 1; // Initialize flag variable.
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
if (Matrix[i][j] != Matrix[j][i])
{
symmetric = 0;
break;
}
}
}
// Display output.
if (symmetric == 1)
{
printf("The given matrix is symmetric.\n");
}
else
{
printf("The given matrix is NOT symmetric.\n");
}
}
printf("\nMy name is Ashrith Sagar Yedlapalli.\n");
} // End.Question-2
// Preprocessor directives.
#include <stdio.h>
#include <math.h>
int main() // Start main.
{ // Start.
// Variable initialisations.
const int s = 50; // 2D array size.
int Matrix[s][s];
int row_dimension, column_dimension;
int trace, sum_of_squares_of_elements;
float norm;
// Read matrix from user.
printf("Matrix dimensions: \n");
scanf("%d %d", &row_dimension, &column_dimension);
printf("Matrix values [row-wise]: \n");
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
scanf("%d", &Matrix[i][j]);
}
}
// Display matrix.
printf("\nMatrix [Dimensions: %d x %d]: \n", row_dimension, column_dimension);
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
printf(" %d \t", Matrix[i][j]);
}
printf("\n");
}
// Check for square matrix.
if (row_dimension != column_dimension)
{
printf("Given matrix is not a square matrix.\n");
}
else
{
trace = sum_of_squares_of_elements = 0; // Initialize.
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
// Trace.
if (i == j) // Principal diagonal elements.
{
trace += Matrix[i][j];
}
// Norm.
sum_of_squares_of_elements += Matrix[i][j] * Matrix[i][j];
}
}
// Norm.
norm = sqrt(sum_of_squares_of_elements);
// Display output.
printf("Trace: %d\t Norm: %f\n", trace, norm);
}
printf("\nMy name is Ashrith Sagar Yedlapalli.\n");
} // End.Question-3
// Preprocessor directives.
#include <stdio.h>
int main() // Start main.
{ // Start.
// Variable initialisations.
const int s = 50; // 2D array size.
int Matrix_A[s][s], Matrix_B[s][s];
int row_dimension_A, column_dimension_A;
int row_dimension_B, column_dimension_B;
int Product_AB[s][s];
// Read matrix from user.
printf("Matrix dimensions of A: \n");
scanf("%d %d", &row_dimension_A, &column_dimension_A);
printf("Matrix values of A [row-wise]: \n");
for (int i = 0; i < row_dimension_A; i++)
{
for (int j = 0; j < column_dimension_A; j++)
{
scanf("%d", &Matrix_A[i][j]);
}
}
printf("\nMatrix dimensions of B: \n");
scanf("%d %d", &row_dimension_B, &column_dimension_B);
printf("Matrix values of B [row-wise]: \n");
for (int i = 0; i < row_dimension_B; i++)
{
for (int j = 0; j < column_dimension_B; j++)
{
scanf("%d", &Matrix_B[i][j]);
}
}
// Display matrix.
printf("\nMatrix A [Dimensions: %d x %d]:\n", row_dimension_A, column_dimension_A);
for (int i = 0; i < row_dimension_A; i++)
{
for (int j = 0; j < column_dimension_A; j++)
{
printf(" %d \t", Matrix_A[i][j]);
}
printf("\n");
}
printf("Matrix B [Dimensions: %d x %d]:\n", row_dimension_B, column_dimension_B);
for (int i = 0; i < row_dimension_B; i++)
{
for (int j = 0; j < column_dimension_B; j++)
{
printf(" %d \t", Matrix_B[i][j]);
}
printf("\n");
}
// Check matrix dimensions for multiplication.
if (column_dimension_A != row_dimension_B)
{
printf("The given matrices are not compatible for matrix multiplication.\n");
}
else
{
for (int i = 0; i < row_dimension_A; i++)
{
for (int j = 0; j < column_dimension_B; j++)
{
for (int k = 0; k < row_dimension_B; k++)
// Note that row_dimension_A is equal to column_dimension_A.
{
Product_AB[i][j] += Matrix_A[i][k] * Matrix_B[k][j];
}
}
}
// Display the output.
printf("Product AB [Dimensions: %d x %d]:\n", row_dimension_A, column_dimension_B);
for (int i = 0; i < row_dimension_A; i++)
{
for (int j = 0; j < column_dimension_B; j++)
{
printf(" %d \t", Product_AB[i][j]);
}
printf("\n");
}
}
printf("\nMy name is Ashrith Sagar Yedlapalli.\n");
} // End.Question-4
// Preprocessor directives.
#include <stdio.h>
#include <math.h>
int main() // Start main.
{ // Start.
// Variable initialisations.
const int s = 50; // 2D array size.
int Matrix[s][s];
int row_dimension, column_dimension;
int t;
// Read matrix from user.
printf("Matrix dimensions: \n");
scanf("%d %d", &row_dimension, &column_dimension);
printf("Matrix values [row-wise]: \n");
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
scanf("%d", &Matrix[i][j]);
}
}
// Display matrix.
printf("\nMatrix [Dimensions: %d x %d]: \n", row_dimension, column_dimension);
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
printf(" %d \t", Matrix[i][j]);
}
printf("\n");
}
// Check for square matrix.
if (row_dimension != column_dimension)
{
printf("Given matrix is not a square matrix.\n");
}
else
{
for (int i = 0; i < row_dimension; i++) // Loop through each row.
{
// Swap.
t = Matrix[i][i];
Matrix[i][i] = Matrix[i][column_dimension-1-i];
Matrix[i][column_dimension-1-i] = t;
}
// Display the output.
printf("New matrix [Dimensions: %d x %d]: \n", row_dimension, column_dimension);
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
printf(" %d \t", Matrix[i][j]);
}
printf("\n");
}
}
printf("\nMy name is Ashrith Sagar Yedlapalli.\n");
} // End.Question-5
// Preprocessor directives.
#include <stdio.h>
int main() // Start main.
{ // Start.
// Variable initialisations.
const int s = 50; // 2D array size.
int Matrix[s][s];
int row_dimension, column_dimension;
int row_1, row_2, column_1, column_2;
int t;
// Read matrix from user.
printf("Matrix dimensions: \n");
scanf("%d %d", &row_dimension, &column_dimension);
printf("Matrix values [row-wise]: \n");
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
scanf("%d", &Matrix[i][j]);
}
}
// Display matrix.
printf("\nOriginal matrix [Dimensions: %d x %d]: \n", row_dimension, column_dimension);
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
printf(" %d \t", Matrix[i][j]);
}
printf("\n");
}
printf("\nRows to interchange: ");
scanf("%d %d", &row_1, &row_2);
if ((row_1 > row_dimension) | (row_2 > row_dimension))
{
printf("Error: Entered row(s) out of matrix dimensions.\n");
}
else
{
// Swap.
for (int j = 0; j < column_dimension; j++)
{
t = Matrix[row_1-1][j];
Matrix[row_1-1][j] = Matrix[row_2-1][j];
Matrix[row_2-1][j] = t;
}
// Display the output.
printf("New matrix with interchanged rows [Dimensions: %d x %d]: \n", row_dimension, column_dimension);
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
printf(" %d \t", Matrix[i][j]);
}
printf("\n");
}
}
printf("\nColumns to interchange: ");
scanf("%d %d", &column_1, &column_2);
if ((column_1 > column_dimension) | (column_2 > column_dimension))
{
printf("Error: Entered column(s) out of matrix dimensions.\n");
}
else
{
// Swap.
for (int i = 0; i < row_dimension; i++)
{
t = Matrix[i][column_1-1];
Matrix[i][column_1-1] = Matrix[i][column_2-1];
Matrix[i][column_2-1] = t;
}
// Display the output.
printf("New matrix with interchanged columns [Dimensions: %d x %d]: \n", row_dimension, column_dimension);
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
printf(" %d \t", Matrix[i][j]);
}
printf("\n");
}
}
printf("\nMy name is Ashrith Sagar Yedlapalli.\n");
} // End.Question-6
// Preprocessor directives.
#include <stdio.h>
#include <math.h>
int main() // Start main.
{ // Start.
// Variable initialisations.
const int s = 50; // 2D array size.
int Matrix[s][s];
int row_dimension, column_dimension;
int element, count;
// Read matrix from user.
printf("Matrix dimensions: \n");
scanf("%d %d", &row_dimension, &column_dimension);
printf("Matrix values [row-wise]: \n");
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
scanf("%d", &Matrix[i][j]);
}
}
printf("\nElement to search: ");
scanf("%d", &element);
// Display matrix.
printf("\nMatrix [Dimensions: %d x %d]: \n", row_dimension, column_dimension);
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
printf(" %d \t", Matrix[i][j]);
}
printf("\n");
}
count = 0; // Initialize count variable.
for (int i = 0; i < row_dimension; i++)
{
for (int j = 0; j < column_dimension; j++)
{
if (Matrix[i][j] == element)
{
count++;
}
}
}
// Display the output.
if (count == 0)
{
printf("Element %d not found in the matrix.\n", element);
}
else
{
printf("Element: %d\t Occurence: %d\n", element, count);
}
printf("\nMy name is Ashrith Sagar Yedlapalli.\n");
} // End.Last updated