Using the matlab instruction cond find the condition, Basic Computer Science

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Using the matlab instruction cond find the condition

1. Using the MATLAB instruction cond, find the condition numbers of Hilbert matrices for n = 4,5,...,12. Plot these condition numbers as a function of n using semilogy. What are your observations?

2. Construct the second degree polynomial q₂(t) that approximates g(t) = sin(πt) on the interval [0,1] by minimizing

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