What multiple of row 2 is subtracted from row 3 in forward elimination of A? A = 1 0 0 2

Chapter 1, Problem 1.25

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What multiple of row 2 is subtracted from row 3 in forward elimination of A? A = 1 0 0 2 1 0 0 5 1 1 2 0 0 1 5 0 0 1 . How do you know (without multiplying those factors) that A is invertible, symmetric, and tridiagonal? What are its pivots?

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