21 Ax, where x = and the Consider a system of differential equations x' 2x2 matrix A has eigenpairs 22 1 4 = 3, Vi = 0 1 and 12 = 2, V2 = V2 li! V2 From the options below, find the correct behavior of the solution x(t) = -Vi elit + v2 etzt. t->00 lim X(t)|| = 0, x(t) lim t+ ||(t) || lim ||X(t) || = 0, t--o0 x(t) lim -V2, -- ||X(t)|| V1) = -və, x(0) = [_v2 V2] = ) = too lim ||X(t) || = 00, x(t) lim 140 x(t)|| lim ||x(t)|| = 0, t-00 x(t) lim 7--00 ||X(t) || - -V1, =v3, x(0) = [-2] 0 None of the options displayed. = t-00 lim X(t)|| = 0, x(t) lim = -V1, t+ ||(t)|| lim X(t) || = 0, --00 x(t) lim t+= x(t) || V2, x(0) = [-va
- -> lim ||X(t)|| = 0, x(t) lim = V1, + X(t) || lim ||X(t) || = 0, t-1-00 x(t) lim +7-0 ||X(t)|| ГО v> x(0) = [va t->00 t-00 lim ||X(t) || = 0, x(t) lim -V1, ||X(t)|| lim ||X(t) || = 0, x(t) lim t--- ||X(t)|| 2 V2, x(0) x(0) = [ 2) - t-00 0 - t-00 t-00 lim ||X(t)|| = 0, x(t) lim = V1, t0 ||X(t) || lim ||x(t) || = 0, x(t) lim ||X(t)|| -V2x ro = -v3, x(0) = [_val
21 Ax, where x = and the Consider a system of differential equations x' 2x2 matrix A has eigenpairs 22 1 4 = 3, Vi = 0 1
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21 Ax, where x = and the Consider a system of differential equations x' 2x2 matrix A has eigenpairs 22 1 4 = 3, Vi = 0 1
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