Write a COMPLETE and an EFFICIENT C Program in which take the values (may contain float values) of three matrices mat1(order 3x2), mat2 (order 3x2), and mat3 (order 2x5) from the user. Your code should add mat1 and mat2 and store the result in mat4 (of appropriate order) and display it. Then multiply mat4xmat3 and store the result in mat5 (of appropriate order) and display it. Finally, check whether mat5 is a sparse matrix or not? and display the decision. Note: A sparse matrix is a matrix in which most of the elements are zero. e.g. If the order of a matrix is 3x5, it means total 15 values. If atleast more than half (i.e. 18 values) are zeros (at any location), then it is a sparse matrix.

Answer

#include <stdio.h> #define ROW1 3 #define COL1 2 #define ROW2 3 #define COL2 2 #define ROW3 2 #define COL3 5 int main() { // Declare matrices float mat1[ROW1][COL1]; float mat2[ROW2][COL2]; float mat3[ROW3][COL3]; float mat4[ROW1][COL1]; float mat5[ROW1][COL3]; / Read values of matrices from user printf("Enter values for matrix 1 (3x2):\ n"); for (int i = 0; i < ROW1; i++) { for (int j = 0; j < COL1; j++) { scanf("%f", &mat1[i][j]); } } printf("Enter values for matrix 2 (3x2):\ n"); for (int i = 0; i < ROW2; i++) { for (int j = 0; j < COL2; j++) { scanf("%f", &mat2[i][j]); } } printf("Enter values for matrix 3 (2x5):\ n"); for (int i = 0; i < ROW3; i++) { for (int j = 0; j < COL3; j++) { scanf("%f", &mat3[i][j]); } }/ Add matrices mat1 and mat2 and store result in mat4 for (int i = 0; i < ROW1; i++) { for (int j = 0; j < COL1; j++) { mat4[i][j] = mat1[i][j] + mat2[i][j]; } } // Display matrix mat4 printf("Matrix 4 (result of mat1 + mat2):\n"); for (int i = 0; i < ROW1; i++) { for (int j = 0; j < COL1; j++) { printf("%.2f ", mat4[i][j]); } printf("\n"); }/ Multiply matrices mat4 and mat3 and store result in mat5 for (int i = 0; i < ROW1; i++) { for (int j = 0; j < COL3; j++) { mat5[i][j] = 0; for (int k = 0; k < COL1; k++) { mat5[i][j] += mat4[i][k] * mat3[k][j]; } } }/ Display matrix mat5 printf("Matrix 5 (result of mat4 * mat3):\n"); for (int i = 0; i < ROW1; i++) { for (int j = 0; j < COL3; j++) { printf("%.2f ", mat5[i][j]); }

OUTPUT