0 votes 0 votes If the determinant and sum of eigen values of a 2 x 2 matrix are -1 and 0 then, what can you say about the rank of the given matrix? a) rank is 0 b) rank is 1 c) Insufficient information d) rank is 2 Linear Algebra iit-madras written-test admissions linear-algebra + – harshrajhrj asked Apr 30 harshrajhrj answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Shankalp Gaur commented May 2 reply Follow Share I think ans is c 0 votes 0 votes harshrajhrj commented May 2 reply Follow Share How can you come up with that? 0 votes 0 votes Please log in or register to add a comment.
Best answer 1 votes 1 votes Since determinant is non-zero so the Matrix will be invertible and that's why it will have full rank. So $D$ will be ans . ꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂ answered Apr 30 • selected Apr 30 by harshrajhrj ꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂ comment Share Follow See all 0 reply Please log in or register to add a comment.