[单选题]设(3(alpha_{1}-alpha)+2(alpha_{2}+alpha)=5(alpha_{3}+alpha),)试求向量`alpha=`_____，其中`alpha_{1}=(2,5,1,3)^{T},alpha_{2}=(10,1,5,10)^{T}`，(alpha_{3}=(4,1,-1,1)^{T}。)
[单选题]设(R(alpha_{1},alpha_{2},cdots,alpha_{s})=R(beta_{1},beta_{2},cdots,beta_{t})=r)，且(alpha_{1},alpha_{2},cdots,alpha_{s}和beta_{1},beta_{2},cdots,beta_{t})均为n维向量组，则下列结论正确的是(（quad）)。
[单选题]6.1考虑以下最优控制问题(max_{u}{int_{0}^{T}exp[-rs][-x(s)-cu(s)^{2}]ds+exp[-rT]qx(T)}),条件为(dot{x}(s)=a-u(s)(x(s))^{1/2},qquadx(0)=x_{0},qquadu(s)geq0),其中(a),(c),(x_{0}),(r),(q)(-)正实数.假设Bellman函数具有以下形式:(V(t,x)=exp[-rt][A(t)x+B(t)]),其中(A(t))和(B(t))满足系统方程(dot{A}(t)=rA(t)-frac{A(t)^{2}e^{rt}}{4c}+1),(dot{B}(t)=rB(t)-aA(t)e^{rt}),限制条件为(A(T)=q,;;;;B(T)=0.)求最优控制(varphi(t,x)).答案选项：
