Show that y1,,,,,,,,,,, yn are in mean-deviation form

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Given multivariate data X1,,,,,,, XN (in Rp) in mean deviation form, let P be a p X p matrix, and define Yk = PT Xk for k = 1,,,,,,, N.

a. Show that Y1,,,,,,,,,,, YN are in mean-deviation form.

b. Show that if the covariance matrix of X1,,,,,,,,,, XN is S, then the covariance matrix of Y1,,,,,,,,, YN is PTSP.

Reference no: EM131074981

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