# Python – Multiply two matrices

## Python program to multiply two matrices

Given two matrix the task is that we will have to create a program to multiply two matrices in python.
Examples:

```Input : X = [[1, 7, 3],
[3, 5, 6],
[6, 8, 9]]
Y = [[1, 1, 1, 2],
[6, 7, 3, 0],
[4, 5, 9, 1]]

Output : [55, 65, 49, 5]
[57, 68, 72, 12]
[90, 107, 111, 21]```

Using Simple Nested Loops
In this program we have to use nested for loops to iterate through each row and each column.

 `# Program to multiply two matrices using nested loops` `# take a 3x3 matrix` `A ``=` `[[``12``, ``7``, ``3``],` `    ``[``4``, ``5``, ``6``],` `    ``[``7``, ``8``, ``9``]]` `# take a 3x4 matrix   ` `B ``=` `[[``5``, ``8``, ``1``, ``2``],` `    ``[``6``, ``7``, ``3``, ``0``],` `    ``[``4``, ``5``, ``9``, ``1``]]` `    ` `result ``=` `[[``0``, ``0``, ``0``, ``0``],` `        ``[``0``, ``0``, ``0``, ``0``],` `        ``[``0``, ``0``, ``0``, ``0``]]` `# iterating by row of A` `for` `i ``in` `range``(``len``(A)):` `    ``# iterating by column by B` `    ``for` `j ``in` `range``(``len``(B[``0``])):` `        ``# iterating by rows of B` `        ``for` `k ``in` `range``(``len``(B)):` `            ``result[i][j] ``+``=` `A[i][k] ``*` `B[k][j]` `for` `r ``in` `result:` `    ``print``(r)`

Output:

```[114, 160, 60, 27]
[74, 97, 73, 14]
[119, 157, 112, 23]```

Method 2: Matrix Multiplication Using Nested List. We use zip in Python.

 `# Program to multiply two matrices using list comprehension` `# take a 3x3 matrix` `A ``=` `[[``12``, ``7``, ``3``],` `    ``[``4``, ``5``, ``6``],` `    ``[``7``, ``8``, ``9``]]` `# take a 3x4 matrix` `B ``=` `[[``5``, ``8``, ``1``, ``2``],` `    ``[``6``, ``7``, ``3``, ``0``],` `    ``[``4``, ``5``, ``9``, ``1``]]` `# result will be 3x4` `result ``=` `[[``sum``(a ``*` `b ``for` `a, b ``in` `zip``(A_row, B_col))` `                        ``for` `B_col ``in` `zip``(``*``B)]` `                                ``for` `A_row ``in` `A]` `for` `r ``in` `result:` `    ``print``(r)`

Output:

```[114, 160, 60, 27]
[74, 97, 73, 14]
[119, 157, 112, 23]```

Method 3: Matrix Multiplication (Vectorized implementation).

 `# Program to multiply two matrices (vectorized implementation)` `# Program to multiply two matrices (vectorized implementation)` `import` `numpy as np` `# take a 3x3 matrix` `A ``=` `[[``12``, ``7``, ``3``],` `    ``[``4``, ``5``, ``6``],` `    ``[``7``, ``8``, ``9``]]` `# take a 3x4 matrix` `B ``=` `[[``5``, ``8``, ``1``, ``2``],` `    ``[``6``, ``7``, ``3``, ``0``],` `    ``[``4``, ``5``, ``9``, ``1``]]` `# result will be 3x4` `result``=` `[[``0``,``0``,``0``,``0``],` `        ``[``0``,``0``,``0``,``0``],` `        ``[``0``,``0``,``0``,``0``]]` `result ``=` `np.dot(A,B)` `for` `r ``in` `result:` `    ``print``(r)`

Output:

```[114, 160, 60, 27]
[74, 97, 73, 14]
[119, 157, 112, 23]```

Last Updated on October 28, 2021 by admin

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