Matrix

#include <stdio.h> int main() { int matrix[3][3] = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}; printf("%d", matrix[1][2]); return 0; }

• Prints the element in the second row, third column
• Prints the element in the third row, second column
• Prints the sum of all elements in the matrix
• Causes a compilation error

#include <stdio.h> int main() { int matrix1[2][2] = {{1, 2}, {3, 4}}; int matrix2[2][2] = {{5, 6}, {7, 8}}; int result[2][2]; for (int i = 0; i < 2; i++) { for (int j = 0; j < 2; j++) { result[i][j] = matrix1[i][j] + matrix2[i][j]; } } printf("%d", result[1][1]); return 0; }

• Matrix Multiplication
• Matrix Addition
• Matrix Subtraction
• Transposition

#include <stdio.h> int main() { int matrix[2][2] = {{1, 2}, {3, 4}}; printf("%d", *(&matrix[0][0] + 2)); return 0; }

• 3
• 2
• 1
• 4

#include <stdio.h> int main() { int matrix[3][3] = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}; for (int i = 0; i < 3; i++) { for (int j = i+1; j < 3; j++) { int temp = matrix[i][j]; matrix[i][j] = matrix[j][i]; matrix[j][i] = temp; } } printf("%d", matrix[2][0]); return 0; }

• Transposition
• Matrix Inversion
• Scalar Multiplication
• Identity Matrix

#include <stdio.h> int main() { int matrix[2][3] = {{1, 2, 3}, {4, 5, 6}}; int transpose[3][2]; for (int i = 0; i < 2; i++) { for (int j = 0; j < 3; j++) { transpose[j][i] = matrix[i][j]; } } printf("%d", transpose[1][0]); return 0; }

• Transposes the matrix
• Finds the determinant of the matrix
• Multiplies the matrix by its transpose
• Causes a compilation error

#include <stdio.h> int main() { int matrix[2][2] = {{1, 2}, {3, 4}}; int *ptr = matrix[0]; printf("%d", *(ptr + 2)); return 0; }

• 3
• 2
• 1
• 4

#include <stdio.h> int main() { int matrix1[2][3] = {{1, 2, 3}, {4, 5, 6}}; int matrix2[3][2] = {{7, 8}, {9, 10}, {11, 12}}; int result[2][2] = {0}; for (int i = 0; i < 2; i++) { for (int j = 0; j < 2; j++) { for (int k = 0; k < 3; k++) { result[i][j] += matrix1[i][k] * matrix2[k][j]; } } } printf("%d", result[1][0]); return 0; }

• Matrix Addition
• Matrix Multiplication
• Matrix Subtraction
• Transposition

#include <stdio.h> int main() { int matrix[3][3] = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}; printf("%d", matrix[2][0]); return 0; }

• 7
• 8
• 9
• Compilation error

#include <stdio.h> int main() { int matrix[3][3] = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}; for (int i = 0; i < 3; i++) { for (int j = 0; j < 3; j++) { if (i != j) { matrix[i][j] = 0; } } } printf("%d", matrix[2][2]); return 0; }

• Transposition
• Diagonalization
• Matrix Inversion
• Scalar Multiplication

What does the following code snippet do with a 2x2 matrix? #include <stdio.h> int main() { int matrix[2][2] = {{1, 2}, {3, 4}}; for (int i = 0; i < 2; i++) { for (int j = 0; j < 2; j++) { matrix[i][j] *= 2; } } printf("%d", matrix[1][0]); return 0; }

• Multiplies each element by 2
• Adds 2 to each element
• Transposes the matrix
• Causes a compilation error