Task:
Implement a function that takes a square matrix A and returns
a nonzero vector yc which minimizes
abs(norm(A*y,1)-norm(A,1)*norm(y,1))
and a nonzero vector yr which minimizes
abs(norm(A*y,inf)-norm(A,inf)*norm(y,inf))
Example
if A=eye(3), a possible solution:
yc=[1 0 0]' yr=[1 -1 1]'
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You may want to add a test checking that the function actually returns vectors.