(2) (a) Show using set identities that AUBU(AN BNT) = AUBUT (b) Prove by contradiction that if A C B, then A – B = Ø

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A: Please post the multiple questions separately. Here I answered question (1) only as per our policy.

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A: The detailed solution is as follows below:

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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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Q: Prove that l', 12 and lº norms satisfy the properties (N1)-(N3). (N1) (Positivity)||æ|| > 0, and ||æ…

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A: Please check the answer in next step

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A: Since, this is a multiple question I am solving only first question for you. By (barleby policy)

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A: To Show -

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Q: Prove that l', 12 and lº norms satisfy the properties (N1)-(N3). (N1) (Positivity)||x|| = 0, and ||x…

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