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

>>