International Journal of Applied Research
Vol. 2, Issue 7, Part N (2016)
Matrix operations on generator matrices of known sequences and important derivations
Sneha S Kadiya, Dharmin R Patel and Dr. Pradeep J Jha
Contents of this paper target on introducing some new, based on certain geometrical results, infinite integer sequences. In addition to this, some distinct algebraic properties related to these sequences and also to some known sequences are also explicitly mentioned. It further works on searching for algebraic properties and eigen values of generator matrices of different exponential order. The utmost centre of associated mathematical work is found in alignment of (1) successive terms of different sequences and their recurrence relations (2) generator matrices of different exponents and association of their eigen values with one and/or two different given sequences, and (3) number of useful mathematical results inter- relating these sequences.