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  • 矩阵的乘方

    矩阵的乘方

    >> A=[1 2 3;4 5 6;7 8 9]
    
    A =
    
         1     2     3
         4     5     6
         7     8     9
    
    >> 
    >> A^2
    
    ans =
    
        30    36    42
        66    81    96
       102   126   150
    
    >> 
    >> 
    >> A^3
    
    ans =
    
             468         576         684
            1062        1305        1548
            1656        2034        2412
    
    >> 
    >> 
    >> A^4
    
    ans =
    
            7560        9288       11016
           17118       21033       24948
           26676       32778       38880
    
    >> 
    >> 
    >> A^(-2)
    警告: 矩阵接近奇异值,或者缩放错误。结果可能不准确。RCOND =  1.689371e-18。 
    > In matlab.internal.math.mpower.viaMtimes (line 35) 
    
    ans =
    
       1.0e+15 *
    
       -0.2569    0.5138   -0.2569
        0.5138   -1.0277    0.5138
       -0.2569    0.5138   -0.2569
    
    >> A^(-3)
    警告: 矩阵接近奇异值,或者缩放错误。结果可能不准确。RCOND =  3.575598e-18。 
    > In matlab.internal.math.mpower.viaMtimes (line 35) 
    
    ans =
    
       1.0e+13 *
    
        0.7528   -1.5056    0.7528
       -1.5056    3.0111   -1.5056
        0.7528   -1.5056    0.7528
    
    >> 
    >> 
    >> 

    >>
    >> A^0.1

    
    

    ans =

    
    

    0.8466 + 0.2270i 0.3599 + 0.0579i -0.0967 - 0.1015i
    0.4016 + 0.0216i 0.4524 + 0.0132i 0.4432 - 0.0146i
    -0.0134 - 0.1740i 0.4849 - 0.0509i 1.0131 + 0.0820i

    
    

    >>
    >>
    >> A^0.5

    
    

    ans =

    
    

    0.4498 + 0.7623i 0.5526 + 0.2068i 0.6555 - 0.3487i
    1.0185 + 0.0842i 1.2515 + 0.0228i 1.4844 - 0.0385i
    1.5873 - 0.5940i 1.9503 - 0.1611i 2.3134 + 0.2717i

    
    

    >>

     
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  • 原文地址:https://www.cnblogs.com/herd/p/14179316.html
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