Show that a set A in ℝ^ 2 is open in the Euclidean metric ⇔ it is open in the max metric.
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Q: It says "Then there must exists some Aj which covers 0". Why 0? I don't understand. Please explain
A: You can take any point x in [0,1]. There exist a Aj which covers x.
Q: 3. Let A € R¹x and aij denote the element in ith row and jth column. If 0 ≤ aij < 1 Vi € 72…
A: Let λ1, ..., λn be the eigenvalues of a matrix A ∈ Cn×n. The spectral radius of A is defined as…
Q: Part B please
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A: note : Since you have posted multiple questions, we will provide the solution only to the first…
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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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Q: Please show work
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A: Definition (Spectral radius of a matrix): For a given square matrix A of order n, the spectral…
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