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2021 12 5
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更新时间：2021 12 5
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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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Chunru
Chunru 2021-12-5
Ran in:

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Ran in:
% 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
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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Rik
Rik
2021-12-5

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