In the previous article, we have discussed Python Program to Count Frequency of k in a Matrix of Size n Where Matrix(i, j) = i+j

Given a matrix and the product value k, the task is to check whether the pair with the given product value exists in the given matrix or not.

**What is a matrix:**

A matrix is a rectangular sequence of numbers divided into columns and rows. A matrix element or entry is a number that appears in a matrix.

**Example:**

Above is the matrix which contains 5 rows and 4 columns and having elements from 1 to 20.

In this order, the dimensions of a matrix indicate the number of rows and columns.

Here as there are 5 rows and 4 columns it is called a 5*4 matrix.

**Examples:**

**Example1:**

**Input:**

Given Matrix : 1 5 4 8 6 1 6 2 4

**Output:**

Yes, the pair with the given product value k exists in the given matrix

**Example2:**

**Input:**

Given Matrix : 5 2 1 4 6 3 1 7 1

**Output:**

No, the pair with the given product value k does not exist in the given matrix

## Program to Check if a Pair with Given Product Exists in a Matrix in Python

Below are the ways to check whether the pair with the given product value exists in the given matrix or not.

### Method #1: Using For Loop (Static Input)

**Approach:**

- Give the matrix as static input and store it in a variable.
- Calculate the number of rows of the given matrix by calculating the length of the nested list using the len() function and store it in a variable mtrxrows.
- Calculate the number of columns of the given matrix by calculating the length of the first list in the nested list using the len() function and store it in a variable mtrxcolums.
- Give the k value as static input and store it in another variable.
- Create a function to say
**CheckPairwith_prodctK()**which takes the given matrix and given product k value as the arguments and returns true or false. - Inside the function, take a new empty list and store it in another variable.
- Loop till the given number of rows using the For loop.
- Inside the For loop, Iterate till the given number of columns using another Nested For loop(Inner For loop).
- Check if the value of given k modulus mtrx[n][m] is equal to 0 and given k value divided by mtrx[n[m] is present in the above declared new list using the if conditional statement.
- If it is true, then return true.
- Else append mtrx[n][m] to the above new list using the append() function.
- Pass the given matrix and the given k value as the arguments to the
**CheckPairwith_prodctK****()**function and check if it returns true or false using the if conditional statement. - If it is true, then print “Yes, the pair with the given product value k exists in the given matrix”.
- Else print “No, the pair with the given product value k does not exist in the given matrix”.
- The Exit of the Program.

**Below is the implementation:**

# Create a function to say CheckPairwith_prodctK() which takes the given matrix and # given product k value as the arguments and returns true or false. def CheckPairwith_prodctK(mtrx, gvn_k_val): # Inside the function, take a new empty list and store it in another variable. new_lst = [] # Loop till the given number of rows using the For loop. for n in range(mtrxrows): # Inside the For loop, Iterate till the given number of columns using another Nested # For loop(Inner For loop). for m in range(mtrxcols): # Check if the value of given k modulus mtrx[n][m] is equal to 0 and given k # value divided by mtrx[n[m] is present in the above declared new list using # the if # conditional statement. if ((gvn_k_val % mtrx[n][m] == 0) and (gvn_k_val // mtrx[n][m]) in new_lst): # If it is true, then return true. return True # Else append mtrx[n][m] to the above new list using the append() function. else: new_lst.append(mtrx[n][m]) # Give the matrix as static input and store it in a variable. mtrx = [[1, 5, 4], [8, 6, 1], [6, 2, 4]] # Calculate the number of rows of the given matrix by # calculating the length of the nested list using the len() function # and store it in a variable mtrxrows. mtrxrows = len(mtrx) # Calculate the number of columns of the given matrix by # calculating the length of the first list in the nested list # using the len() function and store it in a variable mtrxcols. mtrxcols = len(mtrx[0]) # Give the k value as static input and store it in another variable. gvn_k_val = 30 # Pass the given matrix and the given k value as the arguments to the # CheckPairwith_prodctK() function and check if it returns true or false using # the if conditional statement. if (CheckPairwith_prodctK(mtrx, gvn_k_val)): # If it is true, then print "Yes, the pair with the given product value k exists in # the given matrix". print("Yes, the pair with the given product value k exists in the given matrix") else: # Else print "No, the pair with the given product value k does not exist in the given # matrix". print("No, the pair with the given product value k does not exist in the given matrix")

**Output:**

Yes, the pair with the given product value k exists in the given matrix

### Method #2: Using For loop (User Input)

**Approach:**

- Give the number of rows of the matrix as user input using the int(input()) function and store it in a variable.
- Give the number of columns of the matrix as user input using the int(input()) function and store it in another variable.
- Take a list and initialize it with an empty value using [] or list() to say
**gvnmatrix**. - Loop till the given number of rows using the For loop
- Inside the For loop, Give all the row elements of the given Matrix as a list using the list(),map(),int(),split() functions and store it in a variable.
- Add the above row elements list to
**gvnmatrix**using the append() function. - Give the k value as user input using the int(input()) function and store it in another variable.
- Create a function to say
**CheckPairwith_prodctK()**which takes the given matrix and given product k value as the arguments and returns true or false. - Inside the function, take a new empty list and store it in another variable.
- Loop till the given number of rows using the For loop.
- Inside the For loop, Iterate till the given number of columns using another Nested For loop(Inner For loop).
- Check if the value of given k modulus mtrx[n][m] is equal to 0 and given k value divided by mtrx[n[m] is present in the above declared new list using the if conditional statement.
- If it is true, then return true.
- Else append mtrx[n][m] to the above new list using the append() function.
- Pass the given matrix and the given k value as the arguments to the
**CheckPairwith_prodctK****()**function and check if it returns true or false using the if conditional statement. - If it is true, then print “Yes, the pair with the given product value k exists in the given matrix”.
- Else print “No, the pair with the given product value k does not exist in the given matrix”.
- The Exit of the Program.

**Below is the implementation:**

# Create a function to say CheckPairwith_prodctK() which takes the given matrix and # given product k value as the arguments and returns true or false. def CheckPairwith_prodctK(mtrx, gvn_k_val): # Inside the function, take a new empty list and store it in another variable. new_lst = [] # Loop till the given number of rows using the For loop. for n in range(mtrxrows): # Inside the For loop, Iterate till the given number of columns using another Nested # For loop(Inner For loop). for m in range(mtrxcols): # Check if the value of given k modulus mtrx[n][m] is equal to 0 and given k # value divided by mtrx[n[m] is present in the above declared new list using # the if # conditional statement. if ((gvn_k_val % mtrx[n][m] == 0) and (gvn_k_val // mtrx[n][m]) in new_lst): # If it is true, then return true. return True # Else append mtrx[n][m] to the above new list using the append() function. else: new_lst.append(mtrx[n][m]) # Give the number of rows of the matrix as user input using the int(input()) function # and store it in a variable. mtrxrows = int(input('Enter some random number of rows of the matrix = ')) # Give the number of columns of the matrix as user input using the int(input()) function # and store it in another variable. mtrxcols = int(input('Enter some random number of columns of the matrix = ')) # Take a list and initialize it with an empty value using [] or list() to say gvnmatrix. mtrx = [] # Loop till the given number of rows using the For loop for n in range(mtrxrows): # Inside the For loop, Give all the row elements of the given Matrix as a list using # the list(),map(),int(),split() functions and store it in a variable. l = list(map(int, input( 'Enter {'+str(mtrxcols)+'} elements of row {'+str(n+1)+'} separated by spaces = ').split())) # Add the above row elements list to gvnmatrix using the append() function. mtrx.append(l) # Give the k value as user input using the int(input()) function and # store it in another variable. gvn_k_val = int(input("Enter some random number = ")) # Pass the given matrix and the given k value as the arguments to the # CheckPairwith_prodctK() function and check if it returns true or false using # the if conditional statement. if (CheckPairwith_prodctK(mtrx, gvn_k_val)): # If it is true, then print "Yes, the pair with the given product value k exists in # the given matrix". print("Yes, the pair with the given product value k exists in the given matrix") else: # Else print "No, the pair with the given product value k does not exist in the given # matrix". print("No, the pair with the given product value k does not exist in the given matrix")

**Output:**

Enter some random number of rows of the matrix = 3 Enter some random number of columns of the matrix = 3 Enter {3} elements of row {1} separated by spaces = 5 2 1 Enter {3} elements of row {2} separated by spaces = 4 6 3 Enter {3} elements of row {3} separated by spaces = 1 7 1 Enter some random number = 50 No, the pair with the given product value k does not exist in the given matrix

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