In 1 4, (a) verify that the indicated column vectors are eigenvectors of the given
Chapter 8, Problem 2(choose chapter or problem)
In Problems 1– 4, (a) verify that the indicated column vectors are eigenvectors of the given symmetric matrix, (b) identify the corresponding eigenvalues, and (c) verify that the column vectors are orthogonal.
\(\left(\begin{array}{rrr} 1 & -1 & -1 \\ -1 & 1 & -1 \\ -1 & -1 & 1 \end{array}\right) ; \quad\left(\begin{array}{r} -2 \\ 1 \\ 1 \end{array}\right), \quad\left(\begin{array}{r} 0 \\ 1 \\ -1 \end{array}\right),\left(\begin{array}{l} 1 \\ 1 \\ 1 \end{array}\right)\)
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