J Show that the matrix function (t):= [ e x' defined by 2 et -t 1...

 

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J Show that the matrix function Þ(t):= [ e x' defined by 2 et -t 1 for tER is a fundamental matrix for the vector differential equation 1 -[2 = -2e-t -1 X. Find the solution satisfying the initial condition 1 (0) = [ 4 ]. J Show that the matrix function Þ(t):= [ e x' defined by 2 et -t 1 for tER is a fundamental matrix for the vector differential equation 1 -[2 = -2e-t -1 X. Find the solution satisfying the initial condition 1 (0) = [ 4 ]. J Show that the matrix function Þ(t):= [ e x' defined by 2 et -t 1 for tER is a fundamental matrix for the vector differential equation 1 -[2 = -2e-t -1 X. Find the solution satisfying the initial condition 1 (0) = [ 4 ]. J Show that the matrix function Þ(t):= [ e x' defined by 2 et -t 1 for tER is a fundamental matrix for the vector differential equation 1 -[2 = -2e-t -1 X. Find the solution satisfying the initial condition 1 (0) = [ 4 ].