Question

Let $A=\begin{pmatrix} 1 & -1 & 2 \\\ -1 & 0 & 1 \\\ 2 & 1 & 1 \end{pmatrix}$ and let $\begin{pmatrix} x_1 \\\ x_2 \\\ x_3 \end{pmatrix}$be an eigenvector corresponding to the smallest eigenvalue of A, satisfying $x^2_1+x^2_2+x^2_3=1$. Then the value of |x1| + |x2| + |x3| equals __________ (round off to 2 decimal places)

Answer 1

The correct answer is 1.70 to 1.76.(approx)