Let A be defined as in Exercise 10 and let P AA Show that P2 P and PT P Exercise 10 Let A be an m Atilde n matrix of rank n with singular value decomposition UVT Let denote the n Atilde m matrix and define A V UT Show that A b satisfies the normal equations ATAx ATb 15 16 16

Question: Let A+ be defined as in Exercise 10 and let P = AA+. Show that P2 = P and PT = P. Exercise 10 Let

Let A+ be defined as in Exercise 10 and let P = AA+. Show that P2 = P and PT = P.
Exercise 10
Let A be an m Ã— n matrix of rank n with singular value decomposition Uˆ‘VT. Let ˆ‘+ denote the n Ã— m matrix

and define A+ = Vˆ‘+ UT. Show that = A+b satisfies the normal equations ATAx = ATb.

-15 -16 -16

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