Analysis of the Consistency of the Biblical Canon Structure Through a Linear Algebra Approach: Matrix Representation, Eigen Decomposition, and Cayley-Hamilton Validation

This study represents the composition of the Biblical canon in the matrix A = (39 27; 7 0). The methods include the characteristic equation, eigenvalues, spectral decomposition, Cayley-Hamilton, and Gram-Schmidt. The result is λ² − 39λ − 189 = 0 with λ1 ≈ 43.36 and λ2 ≈ −4.36. The validation A² − 39A − 189I = 0 is proven to be consistent. Gram-Schmidt orthogonalization u1 ⊥ u2.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-09
DOI
https://doi.org/10.5281/zenodo.24083871
Primary Topic
Matrix Theory and Algorithms
Type
preprint
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preprint

Analysis of the Consistency of the Biblical Canon Structure Through a Linear Algebra Approach: Matrix Representation, Eigen Decomposition, and Cayley-Hamilton Validation

Heryanto Sembiring
Zenodo (CERN European Organization for Nuclear Research)
Matrix Theory and Algorithms
preprint

Analysis of the Consistency of the Biblical Canon Structure Through a Linear Algebra Approach: Matrix Representation, Eigen Decomposition, and Cayley-Hamilton Validation

Heryanto Sembiring
preprint en

Abstract

This study represents the composition of the Biblical canon in the matrix A = (39 27; 7 0). The methods include the characteristic equation, eigenvalues, spectral decomposition, Cayley-Hamilton, and Gram-Schmidt. The result is λ² − 39λ − 189 = 0 with λ1 ≈ 43.36 and λ2 ≈ −4.36. The validation A² − 39A − 189I = 0 is proven to be consistent. Gram-Schmidt orthogonalization u1 ⊥ u2.

Zenodo (CERN European Organization for Nuclear Research)
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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Analysis of the Consistency of the Biblical Canon Structure Through a Linear Algebra Approach: Matrix Representation, Eigen Decomposition, and Cayley-Hamilton Validation — Heryanto Sembiring · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS