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... VECTOR SPACES AND SUBSPACES EXAMPLE 5 Let V be the set of all real-valued functions defined on a set D. Functions are added the the usual way: f + g is the function whose value at t in the domain D is f(t) + g(t). For a scalar c and an f in V, the scalar multiple cf is the function whose value at t ...
... VECTOR SPACES AND SUBSPACES EXAMPLE 5 Let V be the set of all real-valued functions defined on a set D. Functions are added the the usual way: f + g is the function whose value at t in the domain D is f(t) + g(t). For a scalar c and an f in V, the scalar multiple cf is the function whose value at t ...
Random Matrix Theory - Indian Institute of Science
... where Sn is the sample covariance matrix of X j s. But we know from linear algebra that the maximum of αt Sn α is the maximum eigenvalue of Sn and the maximizing α is the corresponding eigenvector. Thus we are led to eigenvalues and eigenvectors of Sn . In this problem, X j are random, but it may be ...
... where Sn is the sample covariance matrix of X j s. But we know from linear algebra that the maximum of αt Sn α is the maximum eigenvalue of Sn and the maximizing α is the corresponding eigenvector. Thus we are led to eigenvalues and eigenvectors of Sn . In this problem, X j are random, but it may be ...