2 votes 2 votes If the determinant of an $n \times n$ matrix $A$ is zero then rank of $A$ is $n$ rank of $A\leq n-2$ $A$ has at least one zero eigen value the system of equations $Ax=0$ has no solution other than trivial solution Linear Algebra go-mathematics-1 linear-algebra matrix + – Bikram asked Aug 8, 2016 Bikram 342 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 3 votes 3 votes Product of Eigen values = Determinant Determinant is 0 i.e. one of the Eigen Value is 0 Digvijay Pandey answered Sep 12, 2016 selected Sep 13, 2016 by Arjun Digvijay Pandey comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes for a singular matrix product of eigen value is zero product of eigen value is equal det of matrix and sum is equal to trace abhishek tiwary answered Jul 7, 2017 abhishek tiwary comment Share Follow See all 0 reply Please log in or register to add a comment.