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SOLVED:(a) Determine the condition number for the following system using the row-sum norm. Do not normalize the system. [ 1 4 9 16 25 4 9 16 25 36 9 16 25 36 49 16 25 36 49 64 25 36 49 64 81] How many digits of precision will be lost due to ill-conditioning? (b) Repeat (a), but scale the matrix by making the maximum element in each row equal to one.
SOLVED:(a) Determine the condition number for the following system u…
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SOLVED:The function kappa () can be used to compute the condition number of a given matrix (the ratio of the largest to smallest non-zero singular values). This gives an idea as to how bad certain numerical calculations will be when applied to the matrix. Large values of the condition number indicate poor numerical properties; in particular, accuracy in the numerical calculation of the inverse of a matrix with a large condition number will be poor. Calculate the respective condition numbers for
SOLVED:The function kappa () can be used to compute the condition …
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