Prove by induction that (cos 0+i sin 0)" cos n0 +i sin ne, for all negative integers n. Question 1. Prove by induction that (cos 0+ i sin 0)" = cosn0 +i sin ne, for all negative integers n. %3D

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: e) -1+ is greater than -1, so we will take the second piece of the function

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Q: 1. Compute the eigenvalues and eigenvectors of [2 ^=122 1^2=614=4 [ A₁ A3 -2 3] 4₂ 3 -5

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A: We are allowed to answer three subparts at a time. So, we are answering the first three subparts,…