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 Jul 2 awarded Curious May 14 awarded Popular Question Dec 10 comment Intersection of a line segment and a paraboloid in 3D Well, your claim is not always true, L can intersect with paraboloid even both end points are below the paraboloid. Dec 7 asked Intersection of a line segment and a paraboloid in 3D Oct 20 revised Diagonally dominant matrix with matrix similarity added 51 characters in body Oct 20 comment Diagonally dominant matrix with matrix similarity Your answer seems logical, but the assumption that you did at the beginning may not be true for my question. So some eigenvalues of $A$ might me zero. Oct 20 comment Diagonally dominant matrix with matrix similarity @Daryl : You are right, i should have mentioned at the beginning. Oct 20 revised Diagonally dominant matrix with matrix similarity added 134 characters in body Oct 20 revised Diagonally dominant matrix with matrix similarity added 60 characters in body Oct 20 comment Diagonally dominant matrix with matrix similarity I already knew that, but that does not work for me. And M does not need to be diagonal. The requirement is diagonally dominant. Oct 19 asked Diagonally dominant matrix with matrix similarity Oct 17 revised Relation between eigenvalues and rows or columns of a matrix deleted 6 characters in body Oct 17 asked Relation between eigenvalues and rows or columns of a matrix Oct 10 awarded Supporter Oct 10 accepted Subtraction of inequalities Oct 10 revised Subtraction of inequalities added more information about the variables Oct 10 comment Subtraction of inequalities @Jean-Sébastien: i do not have any problem with the link. It was just additional information. Please check the edit. Oct 10 revised Subtraction of inequalities deleted 109 characters in body Oct 10 comment Subtraction of inequalities @draks: If i knew i would not ask Oct 10 comment Subtraction of inequalities @draks: what should be instead of question mark?