{"id":"W2357770997","doi":"","title":"Several Properties of Adjoint Matrix and Two Classes Generalized Inverse Matrices","year":2002,"lang":"en","type":"article","venue":"Journal of Guangxi University for Nationalities","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Prairie Improvement Network","funders":"","keywords":"Mathematics; Inverse; Matrix (chemical analysis); Drazin inverse; Singular value decomposition; Pure mathematics; Generalized inverse; Involutory matrix; Combinatorics; Matrix function; Symmetric matrix; Physics; Eigenvalues and eigenvectors; Algorithm; Chemistry; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009773611,0.0006377815,0.0004417546,0.001611666,0.0007387425,0.001827467,0.0004823991,0.001291461,0.004021233],"category_scores_gemma":[0.005758614,0.0003061184,0.0006684987,0.0009987439,0.00243902,0.002814475,0.00116729,0.002170881,0.0008174435],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004211635,"about_ca_system_score_gemma":0.0004045268,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004750442,"about_ca_topic_score_gemma":0.000379147,"domain_scores_codex":[0.9991098,0.0001481042,0.00005791873,0.0002213242,0.0003649422,0.00009791368],"domain_scores_gemma":[0.9970179,0.001189184,0.000514321,0.0003024281,0.0007300795,0.0002461254],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004413196,0.00003591819,0.00093926,0.00007253081,0.00001522544,0.0003501155,0.0004937078,0.00229563,0.00673098,0.9639823,0.001498896,0.02354114],"study_design_scores_gemma":[0.00002614776,0.00008766603,0.001179353,0.00003424086,0.00001718889,0.001895834,0.000287547,0.0269522,0.005282674,0.9509247,0.01325008,0.0000624223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1525821,0.001789087,0.7744181,0.001330806,0.0004620019,0.00008916786,0.000292402,0.0004406002,0.06859571],"genre_scores_gemma":[0.8899823,0.001260018,0.09173695,0.0007295497,0.0008188179,0.0001703634,0.000444074,0.000166822,0.01469111],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004021233,"threshold_uncertainty_score":0.01345235,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03271537199424252,"score_gpt":0.2322691201351441,"score_spread":0.1995537481409016,"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."}}