@article{Stanimirovic_2012, title={A matrix approach to the binomial theorem}, volume={64}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2684}, abstractNote={Motivated by the formula $x^n = \sum_{k=0}^n\left(n \atop k\right) (x - 1)^k$ we investigate factorizations of the lower triangular Toeplitz matrix with $(i, j)$th entry equal to $x^{i-j}$ via the Pascal matrix. In this way, a new computational approach to a generalization of the binomial theorem is introduced. Numerous combinatorial identities are obtained from these matrix relations.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Stanimirovic, S.}, year={2012}, month={Nov.}, pages={1578-1584} }