191问答库 > 线性代数问题 行列式

线性代数问题 行列式

线性代数问题 行列式第4.5小题和第12题
2025-03-16 04:00:41
推荐回答（1个）
回答1：

那还差一个呢？书上【印掉了】吧？
假定：x4=a41y1+a42y2+a43y3+a44y4
则：y1=|(x1.a12,a13.a14)(x2,a22,a23,a24)(x3,a32,a33,a34)(x4,a42,a43,a44)|/|(a11,a12,a13,a14)(a21,a22,a23,a24)(a31,a32,a33,a34)(a41,a42,a43,a44)|
令D=|(a11,a12,a13,a14)(a21,a22,a23,a24)(a31,a32,a33,a34)(a41,a42,a43,a44)|
D2=|(a11,x1,a13,a14)(a21,x2,a23,a24)(a31,x3,a33,a34)(a41,x4,a43,a44)|
D3=|(a11,a12,x1,a14)(a21,a22,x2,a24)(a31,a32,x3,a34)(a41,a42,x4,a44)|
D4=|(a11,a12.a13,x1)(a21,a22,a23,x2)(a31,a32,a33,x3)(a41,a42,a43,x4)|
y2=D2/D、y3=D3/D、y4=D4/D

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