The smallest eigenvalue and the corresponding eigenvector of the matrix \(\begin{bmatrix} 2 & -2 \\\ -1 & 6 \end{bmatrix}\), respectively are

• A. \(1.55 \ \rm and \ \left\lbrace \begin{matrix} 2.00 \\\ -0.45 \end{matrix} \right\rbrace\)
• B. \(1.55 \ \rm and \ \left\lbrace \begin{matrix} 2.00 \\\ 0.45 \end{matrix} \right\rbrace\)
• C. \(2.00 \ \rm and \ \left\lbrace \begin{matrix} 1.00 \\\ 1.00 \end{matrix} \right\rbrace\)
• D. \(1.55 \ \rm and \ \left\lbrace \begin{matrix} -2.55 \\\ -0.45 \end{matrix} \right\rbrace\)