Algebra | SageMath computing

This article introduces the application of SageMath in Algebra.

Open a Jupyter notebook is easy, just type jupyter notebook in the terminal.

Vectors and Matries

Basic operations

Initialization

X = vector(
    [0.0769727234, 0.084649211, 0.090481564, 0.084548456]
)
A = matrix(
    [[0.2, 0.5, 0.1, -0.3],
     [-0.5, 0.5, 0.5, -0.3],
     [0.2, -0.3, 0.5, 0.4],
     [-0.3, -0.3, 0.5, 0]]
)
# Specify element type
B = matrix(ZZ, 3,3) # integer
C = matrix(QQ, 3,3) # fraction
D = matrix(RR, 3,3) # common real numbers

Matrix manipulations

# transpose matrix A
A = A.transpose()

Working with MATLAB

Data sharing

Load .mat data file from Sage

Here I leverage Scipy function to load NN.mat file generated by a MATLAB program:

import scipy.io
data = scipy.io.loadmat('NN.mat')
x = data['NN']
print(x)