Consider the problemx2y (xy y) = 0, y(1) = 0, y(2) y (2) = 0(a) Find the determinantal
Chapter 11, Problem 21(choose chapter or problem)
Consider the problemx2y (xy y) = 0, y(1) = 0, y(2) y (2) = 0(a) Find the determinantal equation satisfied by the positive eigenvalues.(b) Show that there is an infinite sequence of such eigenvalues.(c) Find 1 and 2. Then show that n = [(2n + 1)/2]2 for large n.(d) Find the determinantal equation satisfied by the negative eigenvalues.(e) Show that there is exactly one negative eigenvalue and find its value.
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