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  • 2022-07-25
    计算下列矩阵（其中，[tex=0.643x0.786]SBMIs+VUk7//BOpfqlQl0w==[/tex]为整数）[tex=4.929x2.786]075gCzZzsMRb6HYXYk9X91kfZz+g7QYA5ltIJ5AVIairuoeqts880N6lguBVHnaw8TKXH4kHCKclxg3zZVs76A==[/tex]．
    • 直接计算得[tex=20.714x2.929]075gCzZzsMRb6HYXYk9X91kfZz+g7QYA5ltIJ5AVIairuoeqts880N6lguBVHnaw/p0cimXDEDCoOmrsBwQSptylrHV+9lkXeJVx1nmDbjZyvq2PBTX6VUkTtmXHkuCZebIlAd8MjRquVadNwZyBO3yOqiOMG6MlEmWeG2PSb7jeAjdlMmZ/ic3+QJTl8YnltaskQJhizZ+Xepn9MfyRKK5UmFXV4i9gJ8vdv/lSQ4TipaR8Ejbf6Dc+78wSvj6XBpE0i7EeB5wsMPLxsoYlew==[/tex][tex=20.714x2.929]075gCzZzsMRb6HYXYk9X91kfZz+g7QYA5ltIJ5AVIairuoeqts880N6lguBVHnawcnBHKOsHouFNOTrCWgKbfM9EcOI4Lps4/OlWVWmqWkHVL15h1R7ZbSBgYZQUN3UCXkRAQgMadl/FNgC3qhsH54Us/bF/LGUx/0zyyRHW/MXiYO104KWWc1rHTGfThZZRYAEGcLdydvx9jHctFTJw1iQtZXFYOrBDs8T3or+o5UNerl3oRHgyZ/9MwDwPtA6GiAu86BrDhdojUJcX9eIASw==[/tex][tex=5.786x2.929]ThIgXOUyLYK/6IHx89IH/iDtzO7apDOm/EY/8Icze3LfaY4Sepl0Mz7HkzdpWcg47m7k55tOqatFOPKcYnQgiA==[/tex]一般可得[tex=11.071x2.786]075gCzZzsMRb6HYXYk9X91kfZz+g7QYA5ltIJ5AVIairuoeqts880N6lguBVHnawSrh3qoVDXU1DSHxFVkubOUIRc2Bd5MdD5gICo7BEFqDTCdPKh+40JkgPshRKI/yN8DD3DKZJwHWiw77pQ4oqYA==[/tex]．事实上，当[tex=1.929x1.0]4/1kK4m052TgsZ3rTR3dow==[/tex]时，上式显然成立；设当[tex=2.5x1.0]sz+X5JJQhLNNHLOn0ApBIA==[/tex]时上式成立，那么当[tex=3.643x1.143]zHx40grLUOU5yIin9DLjgA==[/tex]时[tex=16.429x3.0]075gCzZzsMRb6HYXYk9X91kfZz+g7QYA5ltIJ5AVIairuoeqts880N6lguBVHnawDmUbx32jeLyp+OH1ujxF0Vx4WOOuUoiGcJb48nyapeIRNsm3x92qPTIEHar4Nn1c5+oVuW7QAabaIiL/Ekmta1uGmkJo6TgTe3LLNfcU+nwjW8ijI3nXkc5THf4Tyh4KheBHIFefoopQ9IDh6U+E1A==[/tex][tex=18.214x2.929]ThIgXOUyLYK/6IHx89IH/sGDf9DxOto0DEPLBc3K8o63/6pBRYWKpZDG3bIWICuvwtxS4Zz7w9bqq0UpNFhsbFkUvx4QG/SMviGn/C1MyiWVYq+T6j832IVppO9ismKjwxWsOS7mE/2LUyZk9zYvQ8sm26J2veELS7w22lQfgLsUyNHSWxbIP0dNto1tOfExzn2NULs1/AUJUzyw5imUYcceve68HaFGv+PtiNAsfnW4slnUo06b24tOYCUGD4io[/tex]由数学归纳法可知，[tex=11.071x2.786]075gCzZzsMRb6HYXYk9X91kfZz+g7QYA5ltIJ5AVIairuoeqts880N6lguBVHnawSrh3qoVDXU1DSHxFVkubOUIRc2Bd5MdD5gICo7BEFqDTCdPKh+40JkgPshRKI/yN8DD3DKZJwHWiw77pQ4oqYA==[/tex]成立．
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    • 0

      计算下列积分[p=align:center][tex=9.571x2.643]D3NlCiwQ0HcSia4sQg4UrdxtNm6MXb6h1EHjyEw1votQXfkekrCMDz4czTgSJdyXQpeYkoIrSCR5fhckb8Njig==[/tex] , [tex=0.643x0.786]SBMIs+VUk7//BOpfqlQl0w==[/tex]为整数

    • 1

      >>>x= [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9]>>>print(x.sort()) 语句运行结果正确的是( )。 A: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] B: [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9] C: [10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0] D: ['2', '4', '0', '6', '10', '7', '8', '3', '9', '1', '5']

    • 2

      证明：与所有[tex=0.643x0.786]SBMIs+VUk7//BOpfqlQl0w==[/tex]级矩阵可交换的矩阵一定是[tex=0.643x0.786]SBMIs+VUk7//BOpfqlQl0w==[/tex]级数量矩阵.

    • 3

      [tex=0.643x0.786]SBMIs+VUk7//BOpfqlQl0w==[/tex]阶矩阵的伴随矩阵的秩只能是0,1或[tex=0.643x0.786]SBMIs+VUk7//BOpfqlQl0w==[/tex] .

    • 4

      采用基2时间抽取FFT算法流图计算8点序列的DFT，第一级的数据顺序为 A: x[0],x[2],x[4],x[6],x[1],x[3],x[5],x[7] B: x[0],x[1],x[2],x[3],x[4],x[5],x[6],x[7] C: x[0],x[4],x[2],x[6],x[1],x[5],x[3],x[7] D: x[0],x[2],x[1],x[3],x[4],x[6],x[5],x[7]