线性代数提高线性方程组线性代数做题本（二）解答版选择题查看解析已掌握收入错题本题讨论不看本题#10421设 2 阶矩阵 AAA 满足 aij+aji=0,i,j=1,2{a}_{ij} + {a}_{ji} = 0,i,j = 1,2aij+aji=0,i,j=1,2. 实矩阵 P=[α,Aα]P = \left\lbrack {\alpha,{A\alpha }}\right\rbrackP=[α,Aα],其中 Aα{A\alpha }Aα 为非零列向量,则‾\underline{\qquad}.A. [A+ATOEP]x=0\left\lbrack \begin{matrix} A + {A}^{T} & O \\ E & P \end{matrix}\right\rbrack x = 0[A+ATEOP]x=0 只有零解B. [A+EOEP]x=0\left\lbrack \begin{matrix} A + E & O \\ E & P \end{matrix}\right\rbrack x = 0[A+EEOP]x=0 有非零解C. [OA+ATPE]x=[αAα]\left\lbrack \begin{matrix} O & A + {A}^{T} \\ P & E \end{matrix}\right\rbrack x = \left\lbrack \begin{matrix} \alpha \\ {A\alpha } \end{matrix}\right\rbrack[OPA+ATE]x=[αAα] 有无穷多解D. [OA+EPE]x=[αAα]\left\lbrack \begin{matrix} O & A + E \\ P & E \end{matrix}\right\rbrack x = \left\lbrack \begin{matrix} \alpha \\ {A\alpha } \end{matrix}\right\rbrack[OPA+EE]x=[αAα] 有唯一解
