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    Gaussian Elimination and Operation Count

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    Consider the problem Ax=b where A is a tridiagonal matrix. What is the operation count for the forward elimination and the back substitution steps of Gauss elimination in this case? Count add/sub and mult/div operations separately, then give the overall order of the total operations needed. (Use O(n^p) notation).

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    Solution Summary

    This solution shows how to find the operation count in a matrix using Gaussian elimination. All steps are provided with appropriate mathematical operations.