Warning: Matrix is singular to working precision

Question

oun alsharif 2021-11-14

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1586144-warning-matrix-is-singular-to-working-precision

编辑： Chunru 2021-11-14

a=[1, 0, 0, 0, -0.25, 0; 0, 1, 0, -0.25, 0, -0.25; 1, 0, 0, 0, -0.25, 0; 0, -0.25 0, 1, 0, 0; -0.25, 0, -0.25, 0, 1, 0; 0,-0.25, 0, 0, 0, 1];

b=[6.25,4.45,6.8,5.5,3.87,6.45];

c=b/a;

Warning: Matrix is singular to working precision.

i dont know why?

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Answer 1

Chunru 2021-11-14

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1586144-warning-matrix-is-singular-to-working-precision#answer_830989

编辑：Chunru 2021-11-14

在 MATLAB Online 中打开

Make sure your matrix "a" is full rank (rank(a) should be 6 instead of 5).

a=[1, 0, 0, 0, -0.25, 0; 0, 1, 0, -0.25, 0, -0.25; 1, 0, 0, 0, -0.25, 0; 0, -0.25 0, 1, 0, 0; -0.25, 0, -0.25, 0, 1, 0; 0,-0.25, 0, 0, 0, 1]
a = 6×6
    1.0000         0         0         0   -0.2500         0
         0    1.0000         0   -0.2500         0   -0.2500
    1.0000         0         0         0   -0.2500         0
         0   -0.2500         0    1.0000         0         0
   -0.2500         0   -0.2500         0    1.0000         0
         0   -0.2500         0         0         0    1.0000
rank(a)
ans = 5
b=[6.25,4.45,6.8,5.5,3.87,6.45]
b = 1×6
    6.2500    4.4500    6.8000    5.5000    3.8700    6.4500
c=b/a;
Warning: Matrix is singular to working precision.