Java确定两个矩阵是否相等
确定两个矩阵是否相等的Java程序
在此程序中,我们需要检查给定的矩阵是否相等。
两个矩阵是当且仅当满足以下条件时,才表示相等:
两个矩阵的行和列数应相同。
两个矩阵都应具有相同的对应元素。
考虑上面的示例,其中矩阵A和B相等,因为它们具有相同的大小和相同的对应元素。
算法
步骤1: START
步骤2: 定义row1,col1,row2,col2
步骤3: 初始化第一个矩阵a[][] = {{1,2,3},{8,4,6},{4,5,7}}
步骤4: 初始化第二个矩阵b [] [] = {{1,2,3},{8,4,6} {4,5,7}}
步骤5: row1 = a.length
步骤6: col1 = a [0].length
步骤7: row2 = b.length
步骤8: col2 = b [0].length
步骤9: if(row1!= row2 || col1!= col2)
然后
PRINT "No"
否则
转到步骤10;
步骤10: 直到i < row1
重复步骤11 ////((i = 0; i < row1; i ++)
步骤11: 重复步骤12直到j < col1
////for(j = 0; j < col1; j++)
步骤12: if(a[i][j] = b [i][j]) 则
flag = false
break
步骤13: if(flag)
then PRINT" Yes"
else
PRINT" No"
步骤14: END
程序
public class EqualMatrix
{
public static void main(String[] args) {
int row1, col1, row2, col2;
boolean flag = true;
//Initialize matrix a
int a[][] = {
{1, 2, 3},
{8, 4, 6},
{4, 5, 7}
};
//Initialize matrix b
int b[][] = {
{1, 2, 3},
{8, 4, 6},
{4, 5, 7}
};
//Calculates the number of rows and columns present in the first matrix
row1 = a.length;
col1 = a[0].length;
//Calculates the number of rows and columns present in the second matrix
row2 = b.length;
col2 = b[0].length;
//Checks if dimensions of both the matrices are equal
if(row1 != row2 || col1 != col2){
System.out.println("Matrices are not equal");
}
else {
for(int i = 0;i <row1;i++){
for(int j = 0;j <col1;j++){
if(a[i][j] != b[i][j]){
flag = false;
break;
}
}
}
if(flag)
System.out.println("Matrices are equal");
else
System.out.println("Matrices are not equal");
}
}
}
输出: