3 votes 3 votes A system matrix is given as follows. The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______ Linear Algebra engineering-mathematics eigen-value linear-algebra + – rahul sharma 5 asked Jul 2, 2017 rahul sharma 5 3.1k views answer comment Share Follow See all 7 Comments See all 7 7 Comments reply joshi_nitish commented Jul 2, 2017 reply Follow Share 1/3 ?? 0 votes 0 votes rahul sharma 5 commented Jul 2, 2017 reply Follow Share I am also getting the same ,but in gate key they have given as 3. 0 votes 0 votes sandeepiiiii commented Jul 12, 2017 reply Follow Share the question is ratio of maximum and minimum so obviously it would be 3/1 which is just 3 –1 votes –1 votes rahul sharma 5 commented Jul 12, 2017 reply Follow Share But eigen values are -1,-2,-3 so maximum is -1 and min is -3 .Then we need to take mod of their ratio.This is what i can conclude 0 votes 0 votes Gyanu commented Oct 4, 2019 reply Follow Share @joshi_nitish @rahul sharma 5 Sir, what will be the ans of above question. i think 1/3 is correct. 0 votes 0 votes samarpita commented May 10, 2022 reply Follow Share @ankitgupta.1729 sir can you plz confirm it will be 1/3 or 3?I think it will be 1/3 1 votes 1 votes ankitgupta.1729 commented May 10, 2022 reply Follow Share yes. 1/3 should be correct. 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes Sum of eigen values is -6 and their product is also -6 Obviously theyre 1 2 and 3 in magnitude. Maximum 3 ,minimum 1. Ratio is 3 Akb answered Jul 6, 2017 Akb comment Share Follow See all 2 Comments See all 2 2 Comments reply joshi_nitish commented Jul 6, 2017 reply Follow Share qsn is saying absolute value of ratio of max to min...and you are finding ratio of absolute values of max and min...both are different 0 votes 0 votes Akb commented Jul 6, 2017 reply Follow Share Ohh yes thanks for pointing out the error :) 0 votes 0 votes Please log in or register to add a comment.