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Update 18.337 2026 homework 2.md
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18.337 2026 homework 2.md

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# 18.337 Homework 2: HPC and Sensitivity Analysis and Automatic Differentiation
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# 18.337 Homework 2: Performance, Sensitivity Analysis and Automatic Differentiation
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Due Thursday March 5, but start early. Your quiz will come from part of this homework.
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## Overview
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Use `@belapsed` from `Benchmarktools.jl` to get the performance of both in function
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of the input matrix size. Compare the following four operations for small and large
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matrices, in powers of 2, from 2 to at least 216 (and by preference much larger until
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you run out of patience or memory).
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you run out of patience or memory). Compare theory with practice. YMMV.
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```julia
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# define n =

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