Question: 11.11. (Sec. 11.3) Suppose that U;j> 0 for every i, j [l: = (u;j)]' Show that (a) the coefficients of the first principal component are

11.11. (Sec. 11.3) Suppose that U;j> 0 for every i, j [l: = (u;j)]' Show that

(a) the coefficients of the first principal component are all of the same sign. and

(b) the coefficients of eat h other principal component cannot be all of the same sign.

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