(a) Under what conditions is the following product nonsingular? A = 1 0 0 1 1 0 0 1 1 d1

Chapter 1, Problem 1.5.9

(choose chapter or problem)

(a) Under what conditions is the following product nonsingular? A = 1 0 0 1 1 0 0 1 1 d1 d2 d3 1 1 0 0 1 1 0 0 1 . (b) Solve the system Ax = b starting with Lc = b: 1 0 0 1 1 0 0 1 1 c1 c2 c3 = 0 0 1 = b.

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