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
>>