Matrix-Calculator

Developed by:

• Antonio Tresol

• Luis Solano

Use:

The following calculator has the following functions:

• Calculate the absorption probabilities of a Markov chain
• Calculate the power of a matrix
• Solve a linear equations system
• Find the stable states of a Markov chain
• Draw a graph of a Markov chain

Depending on the desired function, the program will require to follow a certain format for a matrix to be inserted into it.

Inserting a matrix to do calculations:

To insert a matrix for a calculation to be done into the program, create a file containing the amount of rows, columns, and values of the matrix.

An example can be seen below:

    3 3
    0.5 0 0.5
    1 0 0
    0 1 0

Where the first two values indicate the rows and the columns of the matrix and the rest of the values indicate the matrix itself.

Inserting a matrix to graph it:

    4 4
    I T D R
    0.05 0.93 0.02 0
    0.1 0.86 0.04 0
    0 0 0.8 0.2
    0.5 0.1 0 0.4

Where the first two values indicate the rows and the columns of the matrix, the following characters are the names for the states and the rest of the values indicate the matrix itself.

Which produces the resulting graph:

Requirements

• Python installed (tested with Python 3.9.5)
• numpy installed (tested with numpy 1.24.2)
• matplotlib installed (tested with matplotlib 3.7.1)
• networkx installed (tested with networkx 3.1)

To install any of the required Python modules, execute the following command:

    pip install (desired_module)

Where desired_module refers to numpy, matplotlib or networkx