Let >4 be the 10 x 10 tridiagonal matrix given by a,,- = 2, 1 = - 1, for each / 2,...

Chapter 6, Problem 13

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Let >4 be the 10 x 10 tridiagonal matrix given by a,,- = 2, 1 = - 1, for each / 2,..., 9, and an = aio.io = 2, = aio,9 = 1. Let b be the 10-dimensional column vector given by b\ b\o \ and b, 0, for each i 2,3,... ,9. Solve 4x = b using the Crout factorization for tridiagonal systems.

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