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l1-norm of a matrix


New member
Sep 1, 2013
Hi, for a homework problem I was asked to show that for an m x n matrix A, the l1-norm of the matrix is the max of the sums of the columns. What I tried to do was plug into the definition of the vector l1-norm with Ax for some x st the l1-norm of x is 1. This shows, after a bit of simplifying, the l1-norm of A is equal to the sum of the row sums of A. This is not at all what I was supposed to show, so does anyone know where I made a mistake? Thanks for any help!

Fernando Revilla

Well-known member
MHB Math Helper
Jan 29, 2012