Let be a norm on R n . Prove that there is a constant
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Let ΙΙ · ΙΙ be a norm on Rn. Prove that there is a constant C > 0 such that the entries of every v = (ν1, ν2, . . . , νn)T ∈ Rn are all bounded, in absolute value, by ΙΙ νi ΙΙ ≤ C ΙΙ v ΙΙ.
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ANSWER We start by defining the norm on Rn as Then we assume that ...View the full answer
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