Gate EE 2014 Eigen values

Question

A system matrix is given as follows.

The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______

Comments

1/3 ??

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I am also getting the same ,but in gate key they have given as 3.

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the question is ratio of maximum and minimum so obviously it would be 3/1 which is just 3

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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

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@joshi_nitish @rahul sharma 5 Sir,

what will be the ans of above question.

i think 1/3 is correct.

Answer 1

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

Comments

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

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Ohh yes thanks for pointing out the error :)