行列式1 1 1 1/x1 x x2 x3/x2 x2 x x3/x3 x3 x3 x求解详解
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1 1 1 1
x1 x x2 x3
x2 x2 x x3
x3 x3 x3 x
r2 - x1r1, r3-x2r1, r4-x3r1
1 1 1 1
0 x-x1 x2-x1 x3-x1
0 0 x-x2 x3-x2
0 0 0 x-x3
= (x-x1)(x-x2)(x-x3)
x1 x x2 x3
x2 x2 x x3
x3 x3 x3 x
r2 - x1r1, r3-x2r1, r4-x3r1
1 1 1 1
0 x-x1 x2-x1 x3-x1
0 0 x-x2 x3-x2
0 0 0 x-x3
= (x-x1)(x-x2)(x-x3)
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