# 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]
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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 coloum 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]

```

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