Let Pk and Uk be defined as in Exercise 10. Show that (a) Pk+1Uk+1 = PkAk+1Uk = APkUk

Chapter 7, Problem 11

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Let Pk and Uk be defined as in Exercise 10. Show that (a) Pk+1Uk+1 = PkAk+1Uk = APkUk (b) PkUk = Ak , and hence (Q1Q2 Qk)(Rk R2R1) is the QR factorization of Ak .

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