Java确定给定矩阵是否为单位矩阵
在此程序中，我们需要检查给定矩阵是否为单位矩阵。
身份矩阵
如果矩阵是其中对角线主元素为1的方阵，则该矩阵被称为单位矩阵。元素为零。
算法
步骤1: START
步骤2: 定义rows，cols
步骤3: SET flag= true
步骤4: 初始化矩阵 a[][] = {{1,0,0}，{0,1,0}，{0,0,1}}
步骤5: rows = a.length
步骤6: cols = a[0].length
步骤7: if(rows!= cols) 然后 PRINT"矩阵应为方矩阵" 转到其他步骤8
步骤8: 直到i < rows 重复步骤9至11，//for(i = 0; i < rows; i++)
步骤9: 直到将j < cols ////for(j = 0; j < cols; j++) 重复步骤10至步骤11
步骤10: if(i == j && a [i] [j] == 1) 然后 SET flag= false
break;
步骤11: if(i!= j && a [i] [j]!= 0) SET flag= false break;
步骤12: if(flag)
then PRINT("Given matrix is an identity matrix")
else
PRINT("Given matrix is not an identity matrix")
步骤13: END
程序:
public class IdentityMatrix
{
public static void main(String[] args) {
int rows, cols;
boolean flag = true;
//Initialize matrix a
int a[][] = {
{1, 0, 0},
{0, 1, 0},
{0, 0, 1}
};
//Calculates the number of rows and columns present in the given matrix
rows = a.length;
cols = a[0].length;
//Checks whether given matrix is a square matrix or not
if(rows != cols){
System.out.println("Matrix should be a square matrix");
}
else {
//Checks if diagonal elements are equal to 1 and rest of elements are 0
for(int i = 0;i <rows;i++){
for(int j = 0;j <cols;j++){
if(i == j && a[i][j] != 1){
flag = false;
break;
}
if(i != j &&a[i][j] != 0){
flag = false;
break;
}
}
}
if(flag)
System.out.println("Given matrix is an identity matrix");
else
System.out.println("Given matrix is not an identity matrix");
}
}
}
输出:
Given matrix is an identity matrix
