🎉 features are updated to all pages. See more →
Solution 12 to 25
Solution 17

Matrix with Specific Values

This program creates and displays a square matrix with specific values based on the relative positions of the elements. For each element in the matrix, the value is determined by comparing its row index and column index. Specifically, elements where the row index is less than the column index are assigned the value 1, elements where the row index is greater than the column index are assigned -1, and elements where the row index equals the column index are assigned 0. The matrix is first filled according to these rules and then displayed to the user.

Code Breakdown

Algorithm

  1. Start
  2. Initialize Variables: Define matrix a[10][10], and variables i, j, m, and n.
  3. Input Matrix Order: Prompt the user to enter the number of rows m and columns n (ensure it's a square matrix).
  4. Fill Matrix:
    • For each element in the matrix:
      • If the row index i is less than the column index j, set a[i][j] to 1.
      • If the row index i is greater than the column index j, set a[i][j] to -1.
      • If the row index i equals the column index j, set a[i][j] to 0.
  5. Display Matrix: Print the matrix row by row.
  6. End

Code Explanation

Example Flowchart

+-------------------------+
| Start                   |
+-------------------------+
            |
            v
+-------------------------+
| Clear the screen        |
+-------------------------+
            |
            v
+-------------------------+
| Prompt for matrix order |
| (rows m, columns n)     |
+-------------------------+
            |
            v
+-------------------------+
| Read m and n            |
+-------------------------+
            |
            v
+-------------------------+
| Initialize i = 0        |
+-------------------------+
            |
            v
+-------------------------+
| i < m ?                 |
+-----------+-------------+
            | Yes
            v
+-------------------------+
| Initialize j = 0        |
+-------------------------+
            |
            v
+-------------------------+
| j < n ?                 |
+-----------+-------------+
            | Yes
            v
+-------------------------+
| i < j ?                 |
+-----------+-------------+
            | Yes
            v
+-------------------------+
| a[i][j] = 1             |
+-------------------------+
            |
            v
+-------------------------+
| i > j ?                 |
+-----------+-------------+
            | Yes
            v
+-------------------------+
| a[i][j] = -1            |
+-------------------------+
            |
            v
+-------------------------+
| Else                    |
+-------------------------+
| a[i][j] = 0             |
+-------------------------+
            |
            v
+-------------------------+
| Increment j             |
+-------------------------+
            |
            v
+-------------------------+
| j < n ?                 |
+-----------+-------------+
            | No
            v
+-------------------------+
| Increment i             |
+-------------------------+
            |
            v
+-------------------------+
| i < m ?                 |
+-----------+-------------+
            | No
            v
+-------------------------+
| Print matrix            |
+-------------------------+
            |
            v
+-------------------------+
| End                     |
+-------------------------+
Solution 16Solution 19