数学试题讲解

下列矩阵中, 可以经过若干初等行变换得到矩阵

(\begin{array}{llll} 1 & 1 & 0 & 1 \\ 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 \end{array})

的是

(\begin{array}{llll} 1 & 1 & 0 & 1 \\ 1 & 2 & 1 & 3 \\ 2 & 3 & 1 & 4 \end{array})

(\begin{array}{llll} 1 & 1 & 0 & 1 \\ 1 & 1 & 2 & 5 \\ 1 & 1 & 1 & 3 \end{array})

(\begin{array}{llll} 1 & 0 & 0 & 1 \\ 0 & 1 & 0 & 3 \\ 0 & 1 & 0 & 0 \end{array})

(\begin{array}{llll} 1 & 1 & 2 & 3 \\ 1 & 2 & 2 & 3 \\ 2 & 3 & 4 & 6 \end{array})