Question: (Coding) Construct any 33 invertible symmetric matrix with no entry equal to 0 . a) Using the function eig in Matlab or equivalent in other

(Coding) Construct any 33 invertible symmetric matrix with no entry equal to 0 . a) Using the function eig in Matlab or equivalent in other programming languages to find the dominant eigenvalue max and its corresponding eigenvector v. b) Use the Power Method to find the (approximate) dominant eigenvector v(k) and eigenvalue k of this matrix for different stopping criteria v2v(k)v2 Record these data in the following table for given different values. Note that in practice, we don't know the exact eigenvalues and eigenvectors. So the stopping criteria needs to be replaced by v(k1)2v(k)v(k1)2
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