Every assignment has some problems to work, for which required functions neeeds to be defined. The final python file with all the functions can be found in mylibrary.py.

• Sum of first n positive integers
• Factorial of a number
• Sum of 1/n

• Average distance between points on: a) line, and b) grid
• Vector addition and dot product
• Matrix operation and product

Three problems of solution of linear system of equation and inverse of matrix using:

• Partial pivoting of matrix
• Gauss Jordan Elimination

Two problems on system of linear equation and inverse of matrix using:

• LU decomposition
• Forward-Backward substitution

Solution of two non-linear equation using:

• Bisection
• Regula Falsi
• Newton-Raphson

Problem on finding all the possible roots of a polynomial using:

• Laguerre’s method with synthetic division