- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 1
- On the trace of powers of square matrices
On the trace of powers of square matrices
Authors : Kailash Patil
Pages : 14-23
Doi:10.15672/hujms.558995
View : 14 | Download : 9
Publication Date : 2021-02-04
Article Type : Research
Abstract :Using Cayley-Hamilton equation for matrices, we obtain a simple formula for trace of powers of a square matrix. The formula becomes simpler in particular cases. As a consequence, we also demonstrate the formula for trace of negative powers of a matrix.Keywords : trace of a matrix, powers of a matrix, Cayley-Hamilton theorem, spectral radius