证明：矩阵的[tex=0.929x1.071]GF6lPkbwM1/sKcTXI74B5g==[/tex]型初等行变换(即，两行互换)可以通过一些[tex=0.929x1.071]buZKswv8GSg4ZQySlQudzA==[/tex]型与[tex=0.929x1.071]9/ixLDjuSXaJpaOE7n+RlQ==[/tex]型初等行变换实现.
举一反三
- 证明：矩阵的[tex=0.929x1.071]ye7wVa6THCKv06rO3baM9A==[/tex]型初等行变换（即两行变换）可以通过一些[tex=0.929x1.071]502A3kM9YE+9j/2noEqw2g==[/tex]型与[tex=0.929x1.071]vxzTVGpzraNdAfUuV99UxQ==[/tex]型初等行变换实现.
- 用初等行变换将下列矩阵化为行阶梯型矩阵，并求其秩。[tex=8.429x5.929]dNSDn9BXm1mpm241IkjqDK1acarp7uEXzYmuVtT7iZZFMMQad53UarVdZOO9LaZclqqiQ+Dr+Zs3UUZe2HPgYmFX/TPm1+WolZFZGBdtfN6KHLQE7oP1GphTOG94oqmPX7zTVY8d97MqHXe0iKz5nomJhQqqkQmREGpHhuJgR1g=[/tex]
- 用矩阵的初等行变换将矩阵[tex=11.0x3.643]C3i3DfkQVo2pOvnj2q0JK8uICAslAc7H+uBU3eOkL5pCh0WRibyvhHMij2q4oiCh39plNQtM0tbVoTgWEIcmp+mHwbWEs3+CB80KUDM4ZsK939VlOjBlhOojGwiWdWFZKz7Z0OrHJSXDoUsh0bza4A==[/tex]化为阶梯形矩阵。
- 用初等行变换将下列矩阵化为行最简形矩阵：[tex=7.857x4.786]jcCMHflCR8OS9TosV6N5vE+ILInEdrNZmLPdu5yGc58x2ThFgeZlIoX9A7qb/G3BsPqADtaTucfoTIvayBE9mmX15MEqtmh5xctTqssz6rNbFi75UX3kKIcBpUtwLNzB[/tex].
- 利用矩阵的初等行变换将矩阵 [tex=6.5x3.643]NeoTBlf1CmkUoMf07Si5dAD8ZbdksGO0fA9hs2XXNUaQJ6hik+QdSdzXXL7Do2ZtpnsSmK0ZLOe+TqTc8cQQL0vYoBA6XmfXeaLwdFf/3Cv4X/cEuPU+mDvs22bLGJ6N[/tex] 化为行最简矩阵.