Converting values in eigenvector to rational forms that include square roots

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

[Walter Roberson]

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

if you have the symbolic toolbox.

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

Answer 1

[Prudhvi Peddagoni]

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.

[Randy Chen]

could you please show the codes how to convert my matrix A and get symbolic values? I read through the documentation but still don't understand it

[Prudhvi Peddagoni]

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]

Like I already showed...

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