检查矩阵是否对称的 Java 程序
对称矩阵是正方形矩阵，其中正方形矩阵的转置与原始正方形矩阵相同。方形矩阵是列数与行数相同的矩阵。如果矩阵是对称矩阵，那么它也是正方形矩阵，反之亦然。矩阵仅仅被认为是待执行动作的 2D 阵列。在这里，我们将看到检查输入的方阵是否对称的方法。
插图:
```java Input : 6 5 2 5 0 9 2 9 3 Output: The matrix is symmetric
Input : 6 1 2 5 0 9 2 9 3 Output: The matrix is not symmetric ```
进场:
- 将矩阵作为用户的输入
- 求矩阵的转置
- 比较两个矩阵
- 如果两个矩阵相同，那么它是对称的，否则就不是。
实施:
例
Java 语言(一种计算机语言，尤用于创建网站)
// Java Program to check whether matrix is
// symmetric or not
// Importing all classes of
// java.util package
import java.util.*;
// Class
public class GFG {
// Matrix 1
// Method to check whether the matrix is
// symmetric or asymmetric
static void checkSymmetric(int mat[][], int row,
int col)
{
int i, j, flag = 1;
// Display message
System.out.println("The matrix formed is:");
// Nested for loop for matrix iteration
// Outer loop for rows
for (i = 0; i < row; i++) {
// Inner loop for columns
for (j = 0; j < col; j++) {
// Print matrix
System.out.print(mat[i][j] + "\t");
}
System.out.println("");
}
// Matrix 2
// Finding transpose of the matrix
int[][] transpose = new int[row][col];
// Again, nested for loop for matrix iteration
// Outer loop for rows
for (i = 0; i < row; i++) {
// Inner loop for columns
for (j = 0; j < col; j++) {
// Print matrix elements
transpose[j][i] = mat[i][j];
}
}
// Condition check over Matrix 1 with Matrix 2
if (row == col) {
// Outer loop for rows
for (i = 0; i < row; i++) {
// Inner loop for columns
for (j = 0; j < col; j++) {
// Comparing two matrices
if (mat[i][j] != transpose[i][j]) {
flag = 0;
break;
}
}
// Setting a flag value for symmetric matrix
if (flag == 0) {
// Display message
System.out.print(
"\nThe matrix is not symmetric");
break;
}
}
// Setting a flag value different from above
// for symmetric matrix
if (flag == 1) {
// Display message
System.out.print(
"\nThe matrix is symmetric");
}
}
// If it isn't a square matrix
// then it can't be a symmetric matrix
else {
// Display message
System.out.print(
"\nThe matrix is not symmetric");
}
}
// Main driver method
public static void main(String args[])
{
// Taking input from the user
Scanner sc = new Scanner(System.in);
// Declaring variables and setting flag to 1
int i, j, row, col, flag = 1;
// Taking input from the user
System.out.print("Enter the number of rows:");
row = sc.nextInt();
// Display message
System.out.print("Enter the number of columns:");
// Reading matrix elements individually using
// nextInt() method
col = sc.nextInt();
// Declaring a 2D array(matrix)
int[][] mat = new int[row][col];
// Display message
System.out.println("Enter the matrix elements:");
// Nested for loop for traversing matrix
// Outer loop for rows
for (i = 0; i < row; i++) {
// Inner loop for columns
for (j = 0; j < col; j++) {
// Print matrix element
mat[i][j] = sc.nextInt();
}
}
// calling function made above to check
// whether matrix is symmetric or not
checkSymmetric(mat, row, col);
}
}
输出:以下，对称性和非对称性检查如下:
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