Question. 3 {x₁,x₂,.,x} is a subset of an Inner Product space. Suppose that X = a. If X is an orthogonal set, show that |x₁ + x₂ + ... + x₂|² = |x₁|² +|x₂|² + ···+|x₂|² b. If X is an orthonormal set, then x₁ + x₂ ++x² = =?

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Q: 1. Find all regular points of the set : {x € Rª | 2(x1+x2+x3)³ +3(x1+x2+x3)² = 1, x²+x²+x²+x4 = 1}.

A: The given set is: x∈R4|2(x1+x2+x3)3+3(x1+x2+x3)3=1,x12+x22+x32+x4=1

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A: Since you have posted multiple questions but according to guidelines, we will solve first question…

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A: As per guidelines only first question is solved. For remaining question kindly repost the question…

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A: We shall solve this in next step

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A: let A={1,2,3,4}   aRb iff 2a&gt;b+1   first we will find R…

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Q: Question 3. Let p21 and P be the set of all sequences r (r1,r2,) of real numbers such that 1/p < 00.…

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Q: whether it is transitive. a) {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)} b) {(1, 1), (1, 2),…

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Q: Let n e N. Suppose An = {n,n +1, n +2,...} and T = {0, An}nɛN• (a) Show that T is a topology on N,…

A: As per the guideline, we are supposed to do the first three subparts of a problem. Kindly repost the…