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Converting values in eigenvector to rational forms that include square roots

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Randy Chen 2020-10-14

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https://ww2.mathworks.cn/matlabcentral/answers/613196-converting-values-in-eigenvector-to-rational-forms-that-include-square-roots

编辑： Walter Roberson 2020-10-20

采纳的回答： Prudhvi Peddagoni

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I tried computing the eigen vectors and eigen values for a 3x3 matrix, but the result is given in fractions after I used format rational. How can I change the format so as to get values in my matrix that include square root ? (i.e, sqrt(2)/2 )

Here are my codes:

A = [3 1 1 ;1 0 2;1 2 0];
>> [V,D] = eig(A)
V =
    0.0000    0.5774   -0.8165
    0.7071   -0.5774   -0.4082
   -0.7071   -0.5774   -0.4082
D =
   -2.0000         0         0
         0    1.0000         0
         0         0    4.0000

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Walter Roberson 2020-10-14

在 MATLAB Online 中打开

[V,D] = eig(sym(A))

if you have the symbolic toolbox.

V ./ [norm(V(:,1)), norm(V(:,2)), norm(V(:,3))]

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采纳的回答

Prudhvi Peddagoni 2020-10-19

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https://ww2.mathworks.cn/matlabcentral/answers/613196-converting-values-in-eigenvector-to-rational-forms-that-include-square-roots#answer_517758

编辑：Walter Roberson 2020-10-19

Hi,

you need to use sym command to convert matrix A to a symbolic variable. you can find the examples of sym command usage and the documentation here.

Hope this helps.

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Prudhvi Peddagoni 2020-10-20

在 MATLAB Online 中打开

you can convert matrix A to symbolic matrix like this

A=sym(A);

then you can use this symbolic matrix to as the input for eig function.

Walter Roberson 2020-10-20

编辑：Walter Roberson 2020-10-20

Like I already showed...

https://www.mathworks.com/matlabcentral/answers/613196-converting-values-in-eigenvector-to-rational-forms-that-include-square-roots#comment_1057766

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