MATRIX REPRESENTATION OF CLASSICAL BINOMIAL EXPANSION WITH PYTHON-BASED COMPUTATION
Abstract
A matrix method is suggested for approximating polynomial expansions of both even and odd degrees using symmetric coefficient matrices and column vectors. The approach utilizes binomial coefficients within a matrix framework and articulates the expansion in a matrix notation as This method ensures precision and balance in computations, consistent with the classical binomial theorem. The symbolic numerical implementation in Python demonstrates the method’s scalability and efficacy. The concept enhances awareness of algebraic patterns and provides a computational tool for matrix representation of polynomial formulas.
Fields of Study & Subjects
Polynomial and algebraic computation
Numerical Methods and Algorithms
Mathematical functions and polynomials
Publication details
- Journal / source
- Far East Journal of Mathematical Sciences (FJMS)
- Volume
- 143
- Issue
- 3
- Pages
- 593–611
- Publication date
- 8 January 2026