Using MATLAB solve this

Question

Iqra Maqbool 2021-12-5

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1603275-using-matlab-solve-this

评论： Rik 2021-12-5

Experiment with MATLAB Dtermine the behaviour of the matix sequence A^k aproaches to infinity for each of following matrices .. A=(1/2 1/3; 1/4 1/5) B= ( 1 -1 0; 0 1 -1; -1 0 1).

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Answer 1

Chunru 2021-12-5

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https://ww2.mathworks.cn/matlabcentral/answers/1603275-using-matlab-solve-this#answer_847840

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% For matrix A;  (Try it out yourself with matric B)
A=[1/2 1/3; 1/4 1/5];
Ak = A;
for k=2:20
    Ak = Ak*A
end
Ak = 2×2
    0.3333    0.2333
    0.1750    0.1233
Ak = 2×2
    0.2250    0.1578
    0.1183    0.0830
Ak = 2×2
    0.1519    0.1066
    0.0799    0.0560
Ak = 2×2
    0.1026    0.0720
    0.0540    0.0378
Ak = 2×2
    0.0693    0.0486
    0.0364    0.0256
Ak = 2×2
    0.0468    0.0328
    0.0246    0.0173
Ak = 2×2
    0.0316    0.0222
    0.0166    0.0117
Ak = 2×2
    0.0213    0.0150
    0.0112    0.0079
Ak = 2×2
    0.0144    0.0101
    0.0076    0.0053
Ak = 2×2
    0.0097    0.0068
    0.0051    0.0036
Ak = 2×2
    0.0066    0.0046
    0.0035    0.0024
Ak = 2×2
    0.0044    0.0031
    0.0023    0.0016
Ak = 2×2
    0.0030    0.0021
    0.0016    0.0011
Ak = 2×2
    0.0020    0.0014
    0.0011    0.0007
Ak = 2×2
    0.0014    0.0010
    0.0007    0.0005
Ak = 2×2
	1.0e+-3 *

    0.9232    0.6474
    0.4856    0.3405
Ak = 2×2
	1.0e+-3 *

    0.6235    0.4372
    0.3279    0.2300
Ak = 2×2
	1.0e+-3 *

    0.4210    0.2953
    0.2215    0.1553
Ak = 2×2
	1.0e+-3 *

    0.2843    0.1994
    0.1496    0.1049

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Rik 2021-12-5

@Chunru, why did you provide the solution to a homework question? The OP didn't show any effort whatsoever and now you're rewarding laziness. (if they weren't lazy, they should have included at least an indication they tried something)

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