Let ||||1 and || ||2 denote the taxicab norm and Euclidean norm on R" respectively. Show that for any vector ER" the fol

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Let 1 And 2 Denote The Taxicab Norm And Euclidean Norm On R Respectively Show That For Any Vector Er The Fol 1 (10.25 KiB) Viewed 10 times

Let ||||1 and || ||2 denote the taxicab norm and Euclidean norm on R" respectively. Show that for any vector ER" the following inequality holds: ||||1 ≤ √√||||2.