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2. a) Find an LU decomposition of the following matrix 2 4 -2 -1 -1 4 1 2 b) Use the answer to part


2. a) Find an LU decomposition of the following matrix 2 4 -2 -1 -1 4 1 2 b) Use the answer to part a) to solve the following system of linear equation 2x1x2 + x3 = -1 4x1x2 + 4x3 = -2 -2x1 + x2 + 2x3 = -2

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