Find a value of k so that / displaystyle / left/lbrack / begin{array}{r} 1 / / 1 / end{array} / right/rbrack e^{k t} is a solution to / displaystyle / boldsymbol{/vec{x}^{/,/prime}} = / left/lbrack / begin{array}{rr} 1 & 3 / / 3 & 1 / end{array} / right/rbrack / boldsymbol{/vec{x}}.
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