Question

A Java program to determine whether two matrices are equal.

Answer 1

In this program, we need to check whether given matrices are equal or not.

Two matrices are said to be equal if and only if they satisfy the following conditions:

Both the matrices should have the same number of rows and columns.

Both the matrices should have the same corresponding elements.

Consider the above example, where matrices A and B are equal as they have the same size and same corresponding elements.

STEP 1: START

STEP 2: DEFINE row1, col1, row2, col2

STEP 3: INITIALIZE first matrix a[][] ={{1, 2, 3}, {8, 4,6}, {4, 5,7}}

STEP 4: INITIALIZE second matrix b[][] ={{1 2, 3}, {8, 4, 6}{4, 5, 7}}

STEP 5: row1 = a.length

STEP 6: col1 = a[0].length

STEP 7: row2 =b.length

STEP 8: col2 = b[0].length

STEP 9: if(row1!=row2 || col1!=col2)

then

PRINT "No"

else

go to step 10;

STEP 10: REPEAT STEP 11 UNTIL i<row1

//for(i=0; i<row1; i++)

STEP 11: REPEAT STEP12 UNTIL j<col1

//for(j=0; j<col1; j++)

STEP 12: if(a[i][j]=b[i][j]) then

flag =false

break

STEP 13: if(flag)

then PRINT "Yes"

else

PRINT "No"

STEP 14: END

Answer 2

$\huge{\underline{\bf{Required\ Answer:}}}$

STEP 1: START

STEP 2: DEFINE row1, col1, row2, col2

STEP 3: INITIALIZE first matrix a[][] ={{1, 2, 3}, {8, 4,6}, {4, 5,7}}

STEP 4: INITIALIZE second matrix b[][] ={{1 2, 3}, {8, 4, 6}{4, 5, 7}}

STEP 5: row1 = a.length

STEP 6: col1 = a[0].length

STEP 7: row2 =b.length

STEP 8: col2 = b[0].length

STEP 9: if(row1!=row2 || col1!=col2)

then

PRINT "No"

else

go to step 10;

STEP 10: REPEAT STEP 11 UNTIL i<row1

//for(i=0; i<row1; i++)

STEP 11: REPEAT STEP12 UNTIL j<col1

//for(j=0; j<col1; j++)

STEP 12: if(a[i][j]=b[i][j]) then

flag =false

break

STEP 13: if(flag)

then PRINT "Yes"

else

PRINT "No"

STEP 14: END

$\huge{\underline{\bf{Program:}}}$

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");

}

}

}

$\huge\bf{Output:}$

$\small\sf{Matrices\ are\ equal}$

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Hope it helps uh :)