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a) Why is it better to solve triangular (upper or lower) systems? In other words, if U is an upper triangular matrix from A, why

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a) Why is it better to solve triangular (upper or lower) systems? In other words, if U is an upper triangular matrix from A, why is it better to solve Ux=d, for some d rather than the actual problem Ax=b ? [2 Marks], b) Using the Doolittle method of LU decomposition, solve the linear system 3x1+5x2+2x38x2+2x36x1+2x2+8x3=8=7=26 [10 Marks]

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