Find the eigenvalues of the following matrix: (:) H1 E where E, and e are positive, real constants. Then expand the eigenvalues in a Taylor series to second order in e, assuming e « E. This means that it can have a term independent of e, and/or a term linear in e, and/or a term quadratic but you're leaving out terms of order e3, e4, etc. Will your Taylor series approximation still work if E = 0? Why or why not? in E,

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