With block multiplication, A = LU has Ak = LkUk in the upper left corner: A = " Ak # = "
Chapter 4, Problem 4.3.35(choose chapter or problem)
With block multiplication, A = LU has Ak = LkUk in the upper left corner: A = " Ak # = " Lk 0 #"Uk 0 # . (a) Suppose the first three pivots of A are 2, 3, 1. What are the determinants of L1, L2, L3 (with diagonal 1s), U1, U2, U3, and A1, A2, A3? (b) If A1, A2, A3 have determinants 5, 6, 7, find the three pivots.
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