3. Given 1 1 -j -1 j A = 2 1 -1 -1 -1 -j] where j= -I. (a) Calculate |||1, || 4||2, and ||||p. (b) Show that for any z E C, it holds ||Ar||2 = |r||2. 1. 112

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Q: Let a, b be real numbers such that la], [b] >k> 0. Show that la - bl k² a ≤

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Q: 10. Let w = f(z) = Find f(1 - i) 1+z 1-z A. 1 - 2i B. −1+2i C. -1-2i D. none of the above

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Q: , use (10.10.1) to determine L[f].

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Q: e a counterexamnple to the following statement: if f: L hen fUg is a function from DUB to CUA.…

A: Function is also a relation

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Q: Prove that if a(x) = |r|, the absolute value function, then a E C(R). (Use 1.9.)

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A: zero of function when is at where function attains zero value.

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Q: II. Show your solution completely. 1. Given f = x – 2x+3 and A =[-2,1], find |, f. J[-2.1]

A: To find the given integral

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Q: 10.30

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Q: Find the nth term for the following :function 24 25 23 32 4² 1 − (−1)n 2 n (2)" (n) 2,1, I I 52 B

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A: Since you have asked multiple question, we will solve the first question for you. If you  want any…

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