Analysis of the Consistency of the Biblical Canon Structure Through a Linear Algebra Approach: Matrix Representation, Eigen Decomposition, and Cayley-Hamilton Validation
Year: 2026
Type: preprint
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.
Author: Sembiring, Heryanto
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225657635
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