The optimal latent vector at corresponds to the smallest

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Using Theorem 3.3 show that the optimal latent vector at corresponds to the smallest latent root of Eq. (10.7).

THEOREM 3.3

(Rayleigh Quotient) Let Σ be a covariance matrix with latent roots λ_t≥ λ₂≥. . . ≥ λ_p Apand let

for some vector U≠ 0. Then

if and only if U is, respectively, the latent vector of Σ corresponding to the first and last latent root.

Reference no: EM131059734

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