Question: 2. (10 points) Not all norms behave the same; for instance, the j-norm of a vector can be dramatically different from the f2-norm, especially in

 2. (10 points) Not all norms behave the same; for instance,

2. (10 points) Not all norms behave the same; for instance, the j-norm of a vector can be dramatically different from the f2-norm, especially in high dimensions. Prove the following norm inequalities for d-dimensional vectors, starting from the definitions provided in class and lecture notes. (Use any algebraic technique/result you like, as long as you cite it.) b. | |2 - Val

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