in Linear Algebra
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1 vote
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Here answer is B.

Can anyone explain this? I am confused with option A and B.

in Linear Algebra
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2 Answers

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Best answer

Option B is correct.

A + I  is given in question , which gives A = a

Now, it's Eigen Values are   0, -1, -1 . We have to find Eigen Vector for λ =  -1

So, [A - λ I ] X = 0 , which gives 

a

this gives, from first row ,    x - 2z = 0 => x = 2z

            let , z = t , y = s     =>  x = 2t

so, Eigen Vector is  a , Option B (Ans).

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ANSWER IS (B)

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