einπx/L n = 0, ±1, 2, ... re orthogonal on [-L, L] with norm equal to √2L.

Q: Please use typefont or legible handwriting with only the necessary steps and clear explanations.

A: Consider the provided question,

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A: please see the next step for solution

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A: If A ∈ Rnxm then we have to prove that rank(A) = rank(AT)

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A: Given function is f: ℝ - -12 → ℝ--32 such that f(x) = 3x-52x+1

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A: please see the next step for solution

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A: Ans : 0 (zero)

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Q: 2. (5 Points) Let V5 -V5 A = 0 - V5 Find ||A||F-

A: Since you asked to solve only question 2 so i am solving only question 2     Solution:-  Given…

Q: Let f(z) = 3-1교2-8고 + 쯤. a) Compute the minimum and the maximum of f.

A: f(x)=19x3-13x2-83x+269