矩阵A^103(A的103次幂)怎么求
矩阵A^103(A的103次幂)怎么求
矩阵A=[1 1 0;0 0 1;0 0 1]的103次幂怎么求,
已经知道求解方法了,请问用matlab编写e的At次幂的方法?
A^n=[1 1 n-1;0 0 1;0 0 1];
要用数学归纳法
&&&&&&&&&&&&&&&
先计算 三个 发现规律 A^n=[1 1 n-1;0 0 1;0 0 1];
然后用数学归纳法 验证 不会 可以hi
A=[1 1 0;0 0 1;0 0 1];
A^103
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>> A=rand(10);
>> exp(A)
ans =
2.25861.17071.92662.02601.55081.31792.11972.31801.42141.0788
2.47392.63951.03641.03231.46461.97331.29061.28952.29521.0554
1.13542.60432.33761.31912.15011.92531.65862.25761.79551.7003
2.49271.62482.54471.04732.21491.17662.01191.27571.73282.1797
1.88202.22621.97141.10201.20551.12642.43732.53262.50232.5447
1.10251.15242.13342.27841.63191.64602.60981.41901.33091.1387
1.32111.52462.10252.00341.56142.61101.72841.21732.13231.7662
1.72792.49861.48031.37311.90851.40551.14871.28542.12491.5990
2.60522.20831.92612.58632.03271.79551.16101.85161.46291.0120
2.62452.61041.18671.03502.12691.25081.29371.60531.76441.4009
>>