線形代数 同次形の連立方程式

次の行列を簡約化する基本行列を書き下せ.
A1 :=
0 1 2
1 0 4
0 2 3

, A2 :=
1 0 2 4
1 0 0 1
4 0 −2 1

A3 :=
4 −2 1 4
2 0 1 3
−1 0 2 1
この問題の解説を教えてください。
よろしくお願いいたします。

No.1 ベストアンサー 回答者： mtrajcp 回答日時： 2021/12/13 20:53

A1

=
(0,1,2)
(1,0,4)
(0,2,3)

(1,0,0.)(1,0,-4)(1,0,0.)(1,0.,0)(0,1,0)(0,1,2)
(0,1,-2)(0,1,0.)(0,1,0.)(0,1.,0)(1,0,0)(1,0,4)
(0,0,1.)(0,0,1.)(0,0,-1)(0,-2,1)(0,0,1)(0,2,3)
=
(1,0,0.)(1,0,-4)(1,0,0.)(1,0.,0)(1,0,4)
(0,1,-2)(0,1,0.)(0,1,0.)(0,1.,0)(0,1,2)
(0,0,1.)(0,0,1.)(0,0,-1)(0,-2,1)(0,2,3)
=
(1,0,0.)(1,0,-4)(1,0,0.)(1,0,4.)
(0,1,-2)(0,1,0.)(0,1,0.)(0,1,2.)
(0,0,1.)(0,0,1.)(0,0,-1)(0,0,-1)
=
(1,0,0.)(1,0,-4)(1,0,4)
(0,1,-2)(0,1,0.)(0,1,2)
(0,0,1.)(0,0,1.)(0,0,1)
=
(1,0,0.)(1,0,0)
(0,1,-2)(0,1,2)
(0,0,1.)(0,0,1)
=
(1,0,0)
(0,1,0)
(0,0,1)

この回答へのお礼

ご回答ありがとうございます。

お礼日時：2021/12/16 08:25