Multiple choice

For the matrix A = $\begin{bmatrix} \ 5 & 3 \ \ 1 & 3 \ \end{bmatrix}$, ONE of the normalized eigen vectors is given as

  1. $\begin{pmatrix} \ \frac{1}{2} \\ \ \frac{\sqrt{3}}{2} \\ \end{pmatrix}$
  2. $\begin{pmatrix} \ \frac{1}{\sqrt{2}} \\ \ \frac{-1}{\sqrt{2}} \\ \end{pmatrix}$
  3. $\begin{pmatrix} \ \frac{3}{\sqrt{10}} \\ \ \frac{-1}{\sqrt{10}} \\ \end{pmatrix}$
  4. $\begin{pmatrix} \ \frac{1}{\sqrt{5}} \\ \ \frac{2}{\sqrt{5}} \\ \end{pmatrix}$
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B Correct answer
Explanation

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