若A满足[tex=2.357x1.214]VamMj+ZFIrMwtSrN8ioiow==[/tex]则 称A是对合阵,试证 [tex=5.143x1.143]NovbxKl63Ey/milqTcbe/41AeNgdw/92JByC/tR+4BM=[/tex]
举一反三
- 设 [tex=15.5x1.286]HpahIPF1sbkTyjzf0iLytuG4KcxB/dALUpVG7sEr3loaBTJhXnOrLkawuAlQtaprPYLl4W8ANWafNMs+IMdA8A==[/tex] 又 [tex=10.429x1.357]NovbxKl63Ey/milqTcbe/8YLFFV+4hMmXGUUd4P3Rngfc+I6gdKMnJtZnG7dSqTeJPJuosIb60hlMyOuUbWyVg==[/tex]. 试证 [tex=4.429x1.357]kcOkYprbrqxZQmHBRFADBw==[/tex] .
- 设 [tex=5.071x1.357]NovbxKl63Ey/milqTcbe/wszkUHGNmkHJbHevPpnbIs=[/tex] 试证 [tex=4.857x1.429]856Pl9HNlDstK+TaTvDo/aRkfMjkLpXvReEf/pIBn4s=[/tex] 当且仅当 [tex=7.143x1.286]kx6cykSlkcsNTqXqkQKcoKXPcdv1nSl118PrR9F0hyM=[/tex]，[tex=3.357x1.286]MJZSzEq0hEXZHn6Di9cJdA==[/tex].
- 设 [tex=11.857x1.357]EQDPNqKrn55cidgTqfO4TF/LlFfjP2u0SKg01vSmbb+AKDnaQIvzbTS68hRaraV+wUcDURnALvCRJd+TFo/8XoLSZ2hEvMjay23ZzhfmBcQ=[/tex] 令 [tex=15.571x1.357]hkp5FdXRMaAoYsTi8WATlKM6vND2EvcNIUOo2l/u20cjI0/3EQey6ufFVlFUDzH7qr1BUuqlY4s3WtWEt/077JshCPQVTpPIctYHaeIEUqA=[/tex] 试证 [tex=8.214x1.357]NovbxKl63Ey/milqTcbe/8AXbZ16lSHxMXRlKSARzJ1AbBiXZhzVidGWc+/kFhAR9e+tQOL6GIOjRTATjjq/JQ==[/tex].
- 试证:如果 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 为奇数阶正交矩阵，且 [tex=3.929x1.214]NovbxKl63Ey/milqTcbe//IQk0fgEelSy0N+iM7c6fc=[/tex]则 1 是 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 的一个特征值。
- A 、 B均为n阶方阵,则有 : 未知类型：{'options': ['[tex=11.857x1.357]NovbxKl63Ey/milqTcbe/6j1ynVLnvs61TthlFfdGTtEZvwvQIc+PIcbyMHMkOHCRN/5zNoo4+OsoKWsVFtIAJS3g4aSgk+cwipRUWxLeZw=[/tex]', '[tex=11.143x1.357]NovbxKl63Ey/milqTcbe/6LtkSX7AxvD6+iWPHugkqz28xVkr15VH2nR9qBMlWfwuYcWM7hv2AaaQ944K1sL25Qq0S7pauW/YmcDxocf0RA=[/tex]', '[tex=8.643x1.357]NovbxKl63Ey/milqTcbe/2AA2tkzWfYGK1xgTCJgk8S//rXJuxGqVm5vSIg+nsZBRYRBg2IxpklY6b5HnGEbEQ==[/tex]', '[tex=3.857x1.0]2vsdMb7+BKP822EunIcDYA==[/tex]'], 'type': 102}