# Python | Matrix Product

Getting the product of list is quite common problem and has been dealt with and discussed many times, but sometimes, we require to better it and total product, i.e. including those of nested list as well. Let’s try and get the total product and solve this particular problem.

Method #1 : Using list comprehension + loop
We can solve this problem using the list comprehension as a potential shorthand to the conventional loops that we may use to perform this particular task. We just iterate and product the nested list and at end return the cumulative product using function.

 `# Python3 code to demonstrate ` `# Matrix Product ` `# Using list comprehension + loop ` ` `  `# getting Product ` `def` `prod(val) : ` `    ``res ``=` `1`  `    ``for` `ele ``in` `val: ` `        ``res ``*``=` `ele ` `    ``return` `res  ` ` `  `# initializing list ` `test_list ``=` `[[``1``, ``4``, ``5``], [``7``, ``3``], [``4``], [``46``, ``7``, ``3``]] ` ` `  `# printing original list ` `print``(``"The original list : "` `+` `str``(test_list)) ` ` `  `# using list comprehension + loop ` `# Matrix Product ` `res ``=` `prod([ele ``for` `sub ``in` `test_list ``for` `ele ``in` `sub]) ` ` `  `# print result ` `print``(``"The total element product in lists is : "` `+` `str``(res)) `

Output :

```The original list : [[1, 4, 5], [7, 3], , [46, 7, 3]]
The total element product in lists is : 1622880
```

Method #2 : Using `chain()` + loop
This particular problem can also be solved using the chain function instead of list comprehension in which we use the conventional function to perform product.

 `# Python3 code to demonstrate ` `# Matrix Product ` `# Using chain() + loop ` `from` `itertools ``import` `chain ` ` `  `# getting Product ` `def` `prod(val) : ` `    ``res ``=` `1`  `    ``for` `ele ``in` `val: ` `        ``res ``*``=` `ele ` `    ``return` `res  ` ` `  `# initializing list ` `test_list ``=` `[[``1``, ``4``, ``5``], [``7``, ``3``], [``4``], [``46``, ``7``, ``3``]] ` ` `  `# printing original list ` `print``(``"The original list : "` `+` `str``(test_list)) ` ` `  `# using chain() + loop ` `# Matrix Product ` `res ``=` `prod(``list``(chain(``*``test_list))) ` ` `  `# print result ` `print``(``"The total element product in lists is : "` `+` `str``(res)) `

Output :

```The original list : [[1, 4, 5], [7, 3], , [46, 7, 3]]
The total element product in lists is : 1622880
```

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