Software tutorial/Vectors and arrays

In this section we will focus on containers for your numbers: vectors and arrays. For the purposes of this section you should use this terminology:

Vector

A one-dimensional list of numbers

Array

A multi-dimensional arrangement of numbers

Matrix

A two-dimensional array

In this course we will mainly use vectors and matrices, however, arrays are extremely prevalent in process modelling.

Creating vectors

We will create these vectors:

• \(a = [4, 5, 6, -2, 3]\)
• \(b = [0, 0, \ldots, 0]\) with 300 columns of zeros, one row
• \(c = [1, 1, \ldots, 1]^T\) with 300 rows of ones in a single column
• \(d = [2.6, 2.6, \ldots, 2.6]^T\) with 300 entries of 2.6 in one column
• \(e = [4.5, 4.6, 4.7, \ldots, 10.5 \), equi-spaced entries
• \(f = \) 26 entries starting from 3.0, going down -4.0

MATLAB	Python
a = [4, 5, 6, -2, 3]; b = zeros(1, 300); c = ones(300, 1); d = ones(300, 1) .* 2.6; e = 4.5:0.1:10.5; f = linspace(3.0, -4.0, 26); >> size(c) ans = 300 1 >> size(f) ans = 1 26	import numpy as np a = np.array([4, 5, 6, -2, 3]) b = np.zeros((1, 300)) # note the extra brackets! c = np.ones((300, 1)) d = np.ones((300, 1)) * 2.6 e = np.arange(4.5, 10.5001, 0.1); # type help(np.arange) to understand why f = np.linspace(3.0, -4.0, 26) >>> c.shape (300, 1) >>> f.shape (26,)