For the matrix A =53,13ONE of the normalized eigen vectors

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For the matrix A = 5 3 ,
1 3

ONE of the normalized eigen vectors is given as

Correct Option: B

| A - λI | = 0

⇒ (5 – λ) (3 – λ) = 3 = 0
⇒ λ² – 8λ + 15 – 3 = 0
⇒ λ² – 8λ + 12 = 0
⇒ λ = 2, λ = 6
Now, at λ = 2, eign vector:

Hence required vector is