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法律研究Java 程序用于查找给定矩阵的迹和法向
在本文中，我们将了解如何查找给定矩阵的迹和法向。矩阵的法向是一个矩阵中所有元素平方和的平方根。矩阵的迹是一个矩阵的主对角线上的所有元素的和（从左上到右下）。
以下是对此的演示 −
假设我们的输入为 −
The matrix is defined as: 2 3 4 5 2 3 4 6 9
理想的输出是 −
Trace value: 13.0 Normal value: 14.142135623730951
算法
Step 1 - START Step 2 - Declare an integer matrix namely input_matrix Step 3 - Define the values. Step 4 - To compute trace value, iterate over each element of the matrix using two for-loops, add the diagonal elements and store the value. Step 5 - To compute the normal value, iterate over each element of the matrix using two for-loops, compute the sum of square of each element, them compute the square root of the value and store the value. Step 5 - Display the result Step 6 - Stop
示例 1
这里，我们将所有操作绑定在一起，纳入“主体”函数。
public class NormalAndTrace {
public static void main(String args[]) {
int[][] input_matrix = {
{2, 3, 4},
{5, 2, 3},
{4, 6, 9}
};
int i, j, matrix_size = 3;
double trace = 0, square = 0, normal = 0;
System.out.println("The matrix is defined as: ");
for(i = 0; i < matrix_size; i++) {
for(j = 0; j < matrix_size; j++)
System.out.print(input_matrix[i][j]+" ");
System.out.println(" ");
}
System.out.println("\nThe Trace value of the matrix is ");
for(i = 0; i < matrix_size; i++) {
for(j = 0; j < matrix_size; j++) {
if(i == j) {
trace = trace + (input_matrix[i][j]);
}
}
}
System.out.println(trace);
System.out.println("\nThe Normal value of the matrix is ");
for(i = 0; i < matrix_size; i++) {
for(j = 0; j < matrix_size; j++) {
square = square + (input_matrix[i][j])*(input_matrix[i][j]);
}
}
normal = Math.sqrt(square);
System.out.println(normal);
}
}输出
The matrix is defined as: 2 3 4 5 2 3 4 6 9 The Trace value of the matrix is 13.0 The Normal value of the matrix is 14.142135623730951
示例 2
这里，我们将操作封装到函数中，体现面向对象编程。
public class NormalAndTrace {
static int matrix_size = 3;
static void normal_trace(int input_matrix[][]){
int i, j;
double trace = 0, square = 0, normal = 0;
System.out.println("\nThe Trace value of the matrix is ");
for(i = 0; i < matrix_size; i++) {
for(j = 0; j < matrix_size; j++) {
if(i == j) {
trace = trace + (input_matrix[i][j]);
}
}
}
System.out.println(trace);
System.out.println("\nThe Normal value of the matrix is ");
for(i = 0; i < matrix_size; i++) {
for(j = 0; j < matrix_size; j++) {
square = square + (input_matrix[i][j])*(input_matrix[i][j]);
}
}
normal = Math.sqrt(square);
System.out.println(normal);
}
public static void main(String args[]) {
int i, j;
int[][] input_matrix = { {2, 3, 4},
{5, 2, 3},
{4, 6, 9}
};
System.out.println("The matrix is defined as: ");
for(i = 0; i < matrix_size; i++) {
for(j = 0; j < matrix_size; j++)
System.out.print(input_matrix[i][j]+" ");
System.out.println(" ");
}
normal_trace(input_matrix);
}
}输出
The matrix is defined as: 2 3 4 5 2 3 4 6 9 The Trace value of the matrix is 13.0 The Normal value of the matrix is 14.142135623730951
更新于：2022 年 3 月 29 日
329 次浏览
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