1 votes 1 votes While Solving System of Homogenous Linear Equations, why can't r > n i.e. rank of matrix > number of variables/unknown thanks! Linear Algebra engineering-mathematics linear-algebra system-of-equations + – iarnav asked Jun 26, 2017 iarnav 624 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 2 votes 2 votes To solve linear homogenous equations in n variables, n equations would suffice. So, rank will always be less than or equal to n. However, if we're given more than n equations, then it is an overdetermined system and has no solution. Refer here what an overdetermined system is. just_bhavana answered Jun 26, 2017 selected Oct 26, 2017 by just_bhavana just_bhavana comment Share Follow See all 2 Comments See all 2 2 Comments reply iarnav commented Jun 26, 2017 reply Follow Share Thanks a lot, blessed be! 1 votes 1 votes just_bhavana commented Jun 27, 2017 reply Follow Share Welcome :) 0 votes 0 votes Please log in or register to add a comment.