作业帮x y y ...y z x y ...y z z x ...y ........z z z ...x 求解行列式.
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x y y ...y z x y ...y z z x ...y ........z z z ...x 求解行列式.
x y y ...y z x y ...y z z x ...y ........z z z ...x 求解行列式.
x y y ...y z x y ...y z z x ...y ........z z z ...x 求解行列式.
又是问这个题目
请问这是哪本线性代数教材上的(谁写的书?)
z+(x-z) y y ...y
z x y ...y
z z x ...y
......
z z z ...x
= D1 + D2.
D1 =
x-z y y ...y
0 x y ...y
0 z x ...y
0 ......
0 z z ...x
= (x-z) Dn-1
D2 =
z y y ...y y
z x y ...y y
z z x ...y y
......
z z z ...x y
z z z ...z x
第 1列提出z,然后第1列乘(-y)加到其余各列,得
D2 = z(x-y)^(n-1)
所以有
D = D1 + D2 = (x-z) Dn-1 +z(x-y)^(n-1)
因为行列式的值等于其转置行列式,所以有
D = (x-y)Dn-1 +y(x-z)^(n-1)
两式消去 Dn-1 得
D = [y(x-z)^n - z(x-y)^n]/(y-z).
D = [y(x-z)^n - z(x-y)^n]/(y-z).
z/(x-y) × y/(x+y)
x-y/(z-x)(z-y) 一y-z/(x-y)(x-z) ＋z-x/(y-z)(y-x)
x/y>0,y/z
x^-(y-z)^/(x+y)^-z^
计算（x+y-z)(x-y-z)
计算：(x-y+z)(-x+y+z)
(x+y-z)(x-y+z)=
x y y ...y z x y ...y z z x ...y ........z z z ...x 求解行列式.
把年级数学题x+y/(x-y)(y-z)+x+z/(y-x)(y-z)
1、y-x/x²-y²2、(x-y)(y-z)(z-x)/(z-y)(y-x)(x-z)
化简(x+Y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z)
计算题(x+y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z).
x+y>z 0
用乘法公式计算(x+y)(x-y)+(-y-z)(-y+z)+(-x+z)(z+x)
计算：（X+y+z)(-x+y+z)(x-y+z)(x+y-z)
（x+y-z）（x-y+z）-（x+y+z）（x-y-z）
因式分解 ：（x+y-z)(x-y-z)+(y-x+z)(y-x-z)
因式分解测试题x(x+y-z)+y(x+y-z)+z(z-x-y)