Matrix operations and functions on two-dimensional arrays

Basic matrix operations form the backbone of quite a few statistical analyses—for example, neural networks. In this section, we will be covering some of the most used operations and functions on 2D arrays:

• Addition
• Multiplication by scalar
• Matrix arithmetic
• Matrix-matrix multiplication
• Matrix inversion
• Matrix transposition

In the following sections, we will look into the methods of implementing each of them in Python using SciPy/NumPy.

How to do it…

Let's look the the different methods.

Matrix addition

In order to understand how matrix addition is done, we will first initialize two arrays:

# Initializing an array
x = np.array([[1, 1], [2, 2]])
y ...