5 votes 5 votes A 3× 3 real matrix has an eigen value i, then its other two eigen values can be (A) 0, 1. (B) -1, i. (C) 2i, -2i. (D) 0, -i. Mathematical Logic engineering-mathematics linear-algebra matrix eigen-value + – Lakshman Bhaiya asked Nov 14, 2017 Lakshman Bhaiya 1.5k views answer comment Share Follow See 1 comment See all 1 1 comment reply Lakshman Bhaiya commented Nov 14, 2017 i edited by Lakshman Bhaiya Nov 16, 2018 reply Follow Share Answer is $(d)$ 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes correct option should be d. because complex roots always occur in pairs. hence eigen values will be i, -i , 0. Arnabi answered Nov 14, 2017 Arnabi comment Share Follow See all 4 Comments See all 4 4 Comments reply Lakshman Bhaiya commented Nov 14, 2017 reply Follow Share why 0? 0 votes 0 votes Shubhanshu commented Nov 17, 2017 reply Follow Share @Arnabi why not B? 0 votes 0 votes Arnabi commented Nov 17, 2017 reply Follow Share because complex roots always occur in pairs. i.e if one root is a+ib another should be a-ib. here if one root is i another should be -i. 0 votes 0 votes Shubhanshu commented Nov 17, 2017 reply Follow Share Ok so here it is like 0 + i and 0 - i. 0 votes 0 votes Please log in or register to add a comment.