Основы мат. анализа Примеры
[233−1−4250141520001−2−3−4]
Этап 1
Этап 1.1
Multiply each element of R1 by 12 to make the entry at 1,1 a 1.
[223232−12−4222520212421520001−2−3−4]
Этап 1.2
Упростим R1.
[13232−12−215201221520001−2−3−4]
[13232−12−215201221520001−2−3−4]
Этап 2
Этап 2.1
Perform the row operation R2=R2−R1 to make the entry at 2,1 a 0.
[13232−12−215201221−15−322−320+120+20−11−52−2−0−3−12−4−2]
Этап 2.2
Упростим R2.
[13232−12−2152012207212122−1−32−2−72−6]
[13232−12−2152012207212122−1−32−2−72−6]
Этап 3
Этап 3.1
Multiply each element of R2 by 27 to make the entry at 2,2 a 1.
⎡⎢⎣13232−12−2152012227⋅027⋅7227⋅1227⋅1227⋅227⋅−127(−32)27⋅−227(−72)27⋅−6⎤⎥⎦
Этап 3.2
Упростим R2.
[13232−12−2152012201171747−27−37−47−1−127]
[13232−12−2152012201171747−27−37−47−1−127]
Этап 4
Этап 4.1
Perform the row operation R1=R1−32R2 to make the entry at 1,2 a 0.
⎡⎢⎣1−32⋅032−32⋅132−32⋅17−12−32⋅17−2−32⋅471−32(−27)52−32(−37)0−32(−47)12−32⋅−12−32(−127)01171747−27−37−47−1−127⎤⎥⎦
Этап 4.2
Упростим R1.
[1097−57−20710722767232701171747−27−37−47−1−127]
[1097−57−20710722767232701171747−27−37−47−1−127]