Sweeping‐out method
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Let's consider the simultaneous linear equations. If we take (2)-(1) and (3)-2×(1), this equation is equivalent to . Using (1) to eliminate the x terms in (2) and (3) in this way is called sweeping out x . Next, focusing on (2'), we replace (2') with y + z =-6...(2"), creating (1)-2×(2") and (3')-(-5)×(2"). The original equation is now equivalent to . Using (1/8)×(3"), we get z =-7/2...(3‴). Source: Heibonsha World Encyclopedia, 2nd Edition Information |
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連立一次方程式，を考えよう。(2)－(1)，(3)－2×(1)を取れば，この方程式は，と同値である。このように(1)を使って(2)，(3)のxの項を消去することをxを掃き出すという。次に(2′)に注目して，(2′)を， y＋z＝－6 ……(2″) と置きかえ，(1)－2×(2″)，(3′)－(－5)×(2″)を作る。もとの方程式は，と同値になる。(1/8)×(3″)により， z＝－7/2 ……(3‴)を得る。
出典 株式会社平凡社世界大百科事典 第２版について 情報 |
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