{"id":"W4243377782","doi":"10.1007/978-1-4939-7131-2_100551","title":"Invertible (Nonsingular) Matrices","year":2018,"lang":"en","type":"book-chapter","venue":"","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Invertible matrix; Mathematics; Pure mathematics","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002545545,0.0002620071,0.0002510253,0.0001884493,0.0001148509,0.0002122954,0.001161371,0.0002296617,0.004279739],"category_scores_gemma":[0.000008314036,0.0002193311,0.0001336565,0.0000547768,0.00009240464,0.00026115,0.0004892632,0.000192635,0.005368636],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000250788,"about_ca_system_score_gemma":0.00009405996,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005216138,"about_ca_topic_score_gemma":0.000003085818,"domain_scores_codex":[0.9987583,0.00001476514,0.0002363336,0.0004832498,0.0002809585,0.0002263844],"domain_scores_gemma":[0.9987497,0.00005941843,0.0001334651,0.0008575526,0.00009198311,0.0001079139],"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":[0.000001270049,0.000004357219,2.426103e-7,0.00001692707,0.0000204527,0.00002537949,0.00006081129,2.283684e-7,0.000004760066,0.9579213,0.02914701,0.01279725],"study_design_scores_gemma":[0.00005239417,0.00004212503,2.653565e-7,0.00004432079,0.000008633013,0.00002370079,0.000001070362,0.001243336,0.0002261074,0.468755,0.5293626,0.0002404864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.000002607037,0.0003937834,0.1561069,0.0001667305,0.0006344937,0.0000924788,0.000002709948,0.0003212767,0.842279],"genre_scores_gemma":[0.00005140049,0.00007425184,0.05235213,0.0006356672,0.0004866253,0.000001348757,0.000003379545,0.00002311138,0.9463721],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.5002156,"threshold_uncertainty_score":0.9966305,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01623936848918583,"score_gpt":0.2266438421778508,"score_spread":0.210404473688665,"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."}}