• 2022-06-17
    设[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]是数域[tex=0.857x1.0]eMszuSG5by5UfRZVROYp5A==[/tex]上[tex=0.643x0.786]SBMIs+VUk7//BOpfqlQl0w==[/tex]级对称矩阵,[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]的顺序主子式全不为0.证明:对角矩阵[tex=9.929x1.357]tvK2j45brKxHSVLfyOxaeEHnXFMgGbrqlgg92UE0vTbZv5pJRFOea6KOneUP6msxO0MyVmvIual9OpbXK5wywQ==[/tex]的主对角元为[tex=15.429x2.714]uOjlTIFliyZ78k/I2vvkUy78bCFR/JUcSUanbiUdovwVqigF3fjjqZavCP773vBQc0g6h+dX1HjiJMU/r5naVLRzjjnWUskdx5ZKoPxzEiIfiHV9Ws5hEV+Pk9fRgu9HjW3bnO8CL4QT5MCWBzNfuw==[/tex](7)其中[tex=1.714x1.357]IpBjL4TKV3sVAqE/KwsqrAfJip3ywT+685wbf5y96q8=[/tex]是[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]的[tex=0.571x1.0]CQkpoDeAAI+5FKIfe1wVCA==[/tex]阶顺序主子式,[tex=5.857x1.214]I5SGjTr5mzU5Ceq/sb8fsMww7wbMal8t8RY5w2pUkfk=[/tex]。