{"id":"W4386248569","doi":"10.1017/9781009303897.005","title":"Matrices","year":2023,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph","funders":"","keywords":"Eigenvalues and eigenvectors; Linear algebra; Algebra over a field; Gauss–Seidel method; Applied mathematics; Mathematics; Calculus (dental); Pure mathematics; Iterative method; Mathematical optimization; Physics; Quantum mechanics; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001596866,0.0003078654,0.0003090419,0.0002649307,0.0002062067,0.000120622,0.001829228,0.0002713029,0.000003610984],"category_scores_gemma":[0.00000575196,0.0003536832,0.0002179363,0.00002055592,0.0001120059,0.0001870003,0.001174326,0.0003733998,0.0002576939],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007294439,"about_ca_system_score_gemma":0.00008419241,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002732618,"about_ca_topic_score_gemma":3.587842e-7,"domain_scores_codex":[0.9986339,0.0000362592,0.0001523107,0.0005926646,0.0002968695,0.0002879655],"domain_scores_gemma":[0.9985815,0.0001211689,0.0001838492,0.0008618322,0.00009180934,0.0001598753],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000007616931,0.000002855171,8.064418e-8,0.0000477761,0.00005491111,0.0006322603,0.00002383932,0.00000206995,0.000004157694,0.9665889,0.02817,0.004465573],"study_design_scores_gemma":[0.0002166145,0.00003086005,0.000001653391,0.00009402447,0.00005206988,0.0000190085,0.000005982048,0.0007119775,0.0001136211,0.0006172628,0.997708,0.000428982],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0000036792,0.00008579488,0.02128071,0.00002750041,0.0006278409,0.0001968888,0.0000899326,0.0007758255,0.9769118],"genre_scores_gemma":[0.00003335336,0.0001370457,0.0009957444,0.00004763221,0.0001610117,3.728985e-7,0.00001166919,0.00003298341,0.9985802],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.969538,"threshold_uncertainty_score":0.9998915,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02197252431561959,"score_gpt":0.1986995633731651,"score_spread":0.1767270390575455,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}