Let A be the 10 10 tridiagonal matrix given by aii = 2, ai,i+1 = ai,i1 = 1, for each i =

Chapter 6, Problem 13

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Let A be the 10 10 tridiagonal matrix given by aii = 2, ai,i+1 = ai,i1 = 1, for each i = 2, , 9, and a11 = a10,10 = 2, a12 = a10,9 = 1. Let b be the ten-dimensional column vector given by b1 = b10 = 1 and bi = 0, for each i = 2, 3, , 9. Solve Ax = b using the Crout factorization for tridiagonal systems.

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