0 votes 0 votes Rank of following matix? 12 22 32 42 32 42 52 62 42 52 62 72 please note the changes. gate_forum asked Aug 31, 2016 edited Sep 1, 2016 by gate_forum gate_forum 905 views answer comment Share Follow See 1 comment See all 1 1 comment reply mcjoshi commented Sep 1, 2016 reply Follow Share Det(A) is not equal to $0$. So, Rank(A) = $3$ 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes Determinant of 12 22 32 32 42 52 Is not equal to zero . So Rank of Given matrix is=3 42 52 62 Amit Pal answered Sep 2, 2016 Amit Pal comment Share Follow See all 3 Comments See all 3 3 Comments reply Sushant Gokhale commented Sep 7, 2016 reply Follow Share @Amit, any determinant of given order must be non-zero, right? I mean if one determinant of order 3 is zero and one determinant of order 3 is non-zero, still the order is 3, right? 0 votes 0 votes Amit Pal commented Sep 7, 2016 reply Follow Share Yes @Sushant . You are correct . If any NxN matrix determinant is non zero . Then N is rank of matrix. 0 votes 0 votes Sushant Gokhale commented Sep 7, 2016 reply Follow Share Thanks. 0 votes 0 votes Please log in or register to add a comment.