In MATLAB, W = wilkinson(n) returns one of Wilkinson’s eigenvalue test matrices. The matrix is symmetric and tridiagonal, with pairs of nearly, but not exactly, equal eigenvalues. The most frequently...

In MATLAB, W = wilkinson(n) returns one of Wilkinson’s

eigenvalue test matrices. The matrix is symmetric and tridiagonal, with pairs of nearly, but not exactly, equal eigenvalues. The most frequently used case is wilkinson(21). Its two largest eigenvalues are both about 10.746; they agree to 14, but not to 15, decimal places. Find the eigenvalues of the matrices wilkinson(11) and wilkinson(21).