retagged by
1,217 views
2 votes
2 votes

Let $A$ be a square matrix of size $n\times n$. Consider the following program. What is the expected output?

C=100 
for i=1 to n do 
for j=1 to n do 
{ 
 Temp=A[i][j]+C 
 A[i][j]=A[j][i] 
 A[j][i]=Temp-C 
} 
for i=1 to n do 
for j=1 to n do 
 Output(A[i][j]); 
  1. The matrix $A$ itself.
  2. Transpose of matrix $A$.
  3. Adding $100$ to the upper diagonal elements and subtracting $100$ from diagonal elements of $A$.
  4. None of the option.
retagged by

4 Answers

1 votes
1 votes
  1. C = 100: This line sets the variable C to 100.

  2. for i = 1 to n do: This loop iterates through the rows of matrix A, from row 1 to row n.

  3. for j = 1 to n do: This loop iterates through the columns of matrix A, from column 1 to column n.

  4. {: This bracket opens a block of code that will be executed for each pair of row i and column j.

  5. Temp = A[i][j] + C: This line adds 100 to the current element of matrix A located at row i and column j, and stores the result in the variable Temp.

  6. A[i][j] = A[j][i]: This line sets the current element of matrix A located at row i and column j to the value of the corresponding element in the transpose of A.

  7. A[j][i] = Temp - C: This line sets the corresponding element in the transpose of A (located at row i and column j) to the difference between the value stored in Temp and 100.

  8. }: This bracket closes the block of code executed for each pair of row i and column j.

  9. for i = 1 to n do: This loop iterates through the rows of matrix A again, from row 1 to row n.

  10. for j = 1 to n do: This loop iterates through the columns of matrix A again, from column 1 to column n.

  11. Output(A[i][j]): This line outputs each element of matrix A.

After the program has finished executing, the matrix A will have been modified so that each element A[i][j] contains the value of the corresponding element in the transpose of A. This is because for each element, the program swaps its value with the value in the corresponding position in the transpose of A. This swapping process results in the matrix A becoming the transpose of its original values.

Therefore, the expected output of the program is the transpose of matrix A, which is option 2.

 

 

 

Answer:

Related questions

1 votes
1 votes
3 answers
1
admin asked Mar 30, 2020
3,832 views
Kadane algorithm is used to findMaximum sum subsequence in an arrayMaximum sum subarray in an arrayMaximum product subsequence in an arrayMaximum product subarray in an a...
4 votes
4 votes
3 answers
4