# A method for calculating the sum of diagonal and anti diagonal of power matrices without explicitly calculating its matrices
> Amir A.K.

URL kanonis: https://discover.unhas.ac.id/publications/a-method-for-calculating-the-sum-of-diagonal-and-anti-diagonal-of-power-matrices
Jurnal / Konferensi: Journal of Physics Conference Series
Tahun terbit: 2019
DOI: https://doi.org/10.1088/1742-6596/1277/1/012038
ISSN: 17426588
Citations: 1

## Authors
- Amir A.K.

## Abstract
Abstract In fact, matrix power can be done simply by explicitly calculating it using the rule of matrix multiplication. However, matrix power is time consuming if it had high power, because the multiplication is done by many times. Fixing this, the function develops how to calculate the sum of diagonal and anti diagonal of power matrix without explicitly calculating the matrix. The result show that those can be calculated by using linear combination of determinant, sum of diagonal, and sum of anti diagonal of the initial matrix. Beside that, the functions are applied to certain block matrices.

## Keywords
- Diagonal
- Diagonal matrix
- Main diagonal
- Block matrix
- Mathematics
- Matrix (chemical analysis)
- Multiplication (music)
- Band matrix
- Matrix multiplication
- Power (physics)
- Function (biology)
- Square matrix
- Symmetric matrix
- Combinatorics
- Physics
- Geometry
- Eigenvalues and eigenvectors
- Evolutionary biology
- Composite material
- Materials science
- Quantum mechanics
- Quantum
- Biology

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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