# Python Matrix

In the Python programming language, a matrix is a 2-dimensional rectangular collection of elements. These elements are represented by set of rows and columns. A matrix is consists equal number of elements in every row.

In python matrix can be created in two ways. First by using list and second by using Numpy array.

## Create matrix using python multilist

Generate [NxN] matrix by using of 2d list.

```
# matrix using 2d list
matrix = [[1,2,3,4],
[5,6,7,8],
[8,7,6,5],
[4,3,2,1]]
# print element
print(matrix)
```

`[[1, 2, 3, 4], [5, 6, 7, 8], [8, 7, 6, 5], [4, 3, 2, 1]]`

In the above image showing how to access and operate on a matrix element. Suppose we are to reach the third element in the second row. For example

```
# matrix using 2d list
matrix = [[1,2,3,4],
[5,6,7,8],
[8,7,6,5],
[4,3,2,1]]
# Get 2nd row 3rd element
print(matrix[2][3]) # 5
```

Size of matrix can be [NXM], Here N indicates number of rows and M indicates number of columns.

## Create matrix using Numpy array

```
import numpy as np
# create matrix
matrix = np.array([[1,2,3,4],[5,6,7,8],[8,7,6,5],[4,3,2,1]])
# print element
print(matrix)
```

```
[[1 2 3 4]
[5 6 7 8]
[8 7 6 5]
[4 3 2 1]]
```

### Matrix operation using Numpy array

```
import numpy as np
# Create matrixs
x = np.array([[5,2,3],[5,6,7],[4,8,9]])
y = np.array([[1,2,3],[3,6,1],[1,2,2]])
# Basic operation
# Addition
add = x + y
# Multiplication
mul = x * y
# Subtraction
sub = x - y
print(" Addition x + y")
print(add)
print(" Multiplication x * y")
print(mul)
print(" Subtraction x - y")
print(sub)
```

```
Addition x + y
[[ 6 4 6]
[ 8 12 8]
[ 5 10 11]]
Multiplication x * y
[[ 5 4 9]
[15 36 7]
[ 4 16 18]]
Subtraction x - y
[[4 0 0]
[2 0 6]
[3 6 7]]
```

This is basic matrix operations which is generally used.

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