Question: Let ||.||2 denote the usual Euclidean norm on Rn. Determine the constants in the norm equivalence inequalities c* ||v|| ||v||2 C* ||v|| for

Let ||.||2 denote the usual Euclidean norm on Rn. Determine the constants in the norm equivalence inequalities c* ||v|| ≤ ||v||2 ≤ C* ||v|| for the following norms:
(a) The weighted norm ||v|| = √2v21 + 3v22,
(b) The norm ||v|| = max{ |v1+ v22|, |v1, - v2| }.

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