If A is $3 \times 3$ matrix and Trace A = 9, |A| = 24 and one of the eigen values is 3, then sum of other eigen values is __________.

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Solution

The correct option is C 6
Given,
$Trace A = 9$
$| A | = 24$
$λ_{1} = 3$
$λ_{1} + λ_{2} + λ_{3} = 9$
$\Rightarrow 3 + λ_{2} + λ_{3} = 9$
$\Rightarrow λ_{2} + λ_{3} = 6$

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