• 2022-06-18
    利用归纳法,计算矩阵的[tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]次幂,其中[tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex] 为正整数:[tex=4.5x2.786]jyVOORWehIbTNQvvtYroWn+OoNUDMHtUiN0IB3CF6O90Qii1ad2ILxY0qDrd4G8UEJgLOPxdQvXt4vxZJSknZg==[/tex]。
  • 解 令[tex=6.214x2.786]r+tiAx6ClSaeP7cZbqpjmYZ2lvPdKZndO6ewpx+RMwslFUzwAVnFJwS2oKAoFVzfFilmqck2ZU6/OGehVYed7w==[/tex], 有[tex=6.571x2.786]1HAOTAtJitEVbtbsheX+xekc8OvyzDt8yItgu3vIFe4GkpN0Zy9RtLJZeF8FIRUPeT2Gwthg2O/70kByzMhglbzJa9KyntAUPysZDv8lHLc=[/tex], [tex=6.571x2.786]TJIM75nbi42nj0A+4OjV4SEGm5ae9Nms6LzjXhYqLg+tZlMbkw/22Epn3D8/Y3Zb0cBomAgKhR3WJJuv7o28lH1Tsqg2ulc6UEpqiGlbSHM=[/tex], [tex=6.571x2.786]f8QIEfJJc+5Ua8YRu4jD9fMVpnEYD1fqReI3PR0r67vidbtdL0yHoSNagVc6KMnu8pVJjc7fmV5mgz3c5xWRTLpaCYxMtXvsTrkrVIe1nrY=[/tex],[tex=1.286x0.786]6l2KwUYev/iv+lzc/l18FA==[/tex], 则[tex=7.143x2.786]Q2mKHAvdBQdBp2pkH/2JqptMHYY5gThvsi5w1A62kSxg/xby9fQIsIGLC5kRn9Oc6mtU9pKYgLJJ9blQY/u8FgZsrjwDpw0fjA6cxO34HmE=[/tex]。

    举一反三

    内容

    • 0

      当[tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]为何值时,广义积分[tex=6.071x2.429]p0+OH7YNKfNLWlS8e6PskjUtyopvOuo/tvBuTNUeY6PJxrsQc3E/JydvDYEgBDy6YEPU2lfw+ksgLS+lm6P50A==[/tex]收敛?当[tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]为何值时,这广义积分发散?又当[tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]为何值时,这广义积分取得最小值?

    • 1

      若[tex=0.929x1.0]ysPsVBYgue2sVzMz/Uq3u0A8rVtfBFebzXef4B7T0+U=[/tex]为[tex=0.643x1.286]ZsZs11iKEvfmzDIurZth8g==[/tex]阶可逆矩阵,则下述结论中不正确的是 未知类型:{'options': ['[tex=7.214x1.5]7ZXm/xLuHQMaNCF6qcyckWE6Bz7CB3C0VMP2zgN8Q31vkp7eSZn3fQ9NJNnAAh0jwSsjrg+qutUPkxuEAMrL/Q==[/tex]([tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex] 为非零常数\xa0)', '[tex=11.0x2.429]0H8Ohj1hFwB6cSpbMRE2EGpqjQzjE1/QQjqcRkLunFIit0h/3bw87oC7fEWbXutw6cvN0G/TEXHZAbTIqJKglG/7yWT71HqMCdj6J6Ab73FfFCWgn+T0t4X2P7BgFOHdLp8B3ODROsRUc8NSYXWIZAS7wF0UaKhPlK7m6mRx+jCipwzY9Se8pzWa841u/uRy[/tex]', '[tex=7.357x1.786]dfNL9R8A7ihFnOeHpZ+bnkeu5Cu6fWRHMJnOSS9OBRoMXGUobs8Gkc8/5vnzdRiBMng+QV2vhG0Jgsgjuky2TA==[/tex]([tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]为正整数)', '[tex=11.429x2.429]0H8Ohj1hFwB6cSpbMRE2EE5LSiYFg9YfHcoRKYAsoDdltUAPQKuLveaFgXTdRS3zfLkp2PK6+2AUpdgc2L9rdcc1lG1DHnYwSic7Wu5CApOPkt+gp5YFKlLEDfYrd9VvST6K0Wrxazi1FYTDNITkrLNkEx+a3EZrxB6KCsaF1B7Mr6IXrfPHDDZjpmFXVIwE[/tex]'], 'type': 102}

    • 2

      若[tex=0.929x1.0]ysPsVBYgue2sVzMz/Uq3u0A8rVtfBFebzXef4B7T0+U=[/tex]为[tex=0.643x1.286]ZsZs11iKEvfmzDIurZth8g==[/tex]阶可逆矩阵,则下述结论中不正确的是 未知类型:{'options': ['[tex=7.214x1.5]7ZXm/xLuHQMaNCF6qcyckWE6Bz7CB3C0VMP2zgN8Q31vkp7eSZn3fQ9NJNnAAh0jwSsjrg+qutUPkxuEAMrL/Q==[/tex]([tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex] 为非零常数\xa0)', '[tex=11.0x2.429]0H8Ohj1hFwB6cSpbMRE2EGpqjQzjE1/QQjqcRkLunFIit0h/3bw87oC7fEWbXutw6cvN0G/TEXHZAbTIqJKglG/7yWT71HqMCdj6J6Ab73FfFCWgn+T0t4X2P7BgFOHdLp8B3ODROsRUc8NSYXWIZAS7wF0UaKhPlK7m6mRx+jCipwzY9Se8pzWa841u/uRy[/tex]', '[tex=7.357x1.786]dfNL9R8A7ihFnOeHpZ+bnkeu5Cu6fWRHMJnOSS9OBRoMXGUobs8Gkc8/5vnzdRiBMng+QV2vhG0Jgsgjuky2TA==[/tex]([tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]为正整数)', '[tex=11.429x2.429]0H8Ohj1hFwB6cSpbMRE2EE5LSiYFg9YfHcoRKYAsoDdltUAPQKuLveaFgXTdRS3zfLkp2PK6+2AUpdgc2L9rdcc1lG1DHnYwSic7Wu5CApOPkt+gp5YFKlLEDfYrd9VvST6K0Wrxazi1FYTDNITkrLNkEx+a3EZrxB6KCsaF1B7Mr6IXrfPHDDZjpmFXVIwE[/tex]'], 'type': 102}

    • 3

      若[tex=0.929x1.0]ysPsVBYgue2sVzMz/Uq3u0A8rVtfBFebzXef4B7T0+U=[/tex]为[tex=0.643x1.286]ZsZs11iKEvfmzDIurZth8g==[/tex]阶可逆矩阵,则下述结论中不正确的是 未知类型:{'options': ['[tex=7.214x1.5]7ZXm/xLuHQMaNCF6qcyckWE6Bz7CB3C0VMP2zgN8Q31vkp7eSZn3fQ9NJNnAAh0jwSsjrg+qutUPkxuEAMrL/Q==[/tex]([tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex] 为非零常数\xa0)', '[tex=11.0x2.429]0H8Ohj1hFwB6cSpbMRE2EGpqjQzjE1/QQjqcRkLunFIit0h/3bw87oC7fEWbXutw6cvN0G/TEXHZAbTIqJKglG/7yWT71HqMCdj6J6Ab73FfFCWgn+T0t4X2P7BgFOHdLp8B3ODROsRUc8NSYXWIZAS7wF0UaKhPlK7m6mRx+jCipwzY9Se8pzWa841u/uRy[/tex]', '[tex=7.357x1.786]dfNL9R8A7ihFnOeHpZ+bnkeu5Cu6fWRHMJnOSS9OBRoMXGUobs8Gkc8/5vnzdRiBMng+QV2vhG0Jgsgjuky2TA==[/tex]([tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]为正整数)', '[tex=11.429x2.429]0H8Ohj1hFwB6cSpbMRE2EE5LSiYFg9YfHcoRKYAsoDdltUAPQKuLveaFgXTdRS3zfLkp2PK6+2AUpdgc2L9rdcc1lG1DHnYwSic7Wu5CApOPkt+gp5YFKlLEDfYrd9VvST6K0Wrxazi1FYTDNITkrLNkEx+a3EZrxB6KCsaF1B7Mr6IXrfPHDDZjpmFXVIwE[/tex]'], 'type': 102}

    • 4

      刚度矩阵  [tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]  与柔度矩阵  [tex=0.5x1.286]Nn7ZLYgctvM1ZrwLyNFDJw==[/tex]  的关系为[input=type:blank,size:6][/input]