计算下列行列式 1+X 1 1 1 1 1+X 1 1 1 1 1+Y 1 1 1 1 1+Y
1+X11 1
11+X1 1
11 1+y 1
11 1 1+y
人气:109 ℃ 时间:2019-12-09 08:08:04
解答
若y=0,行列式1,2行相等,此时行列式 = 0
当y≠0时
r2-r1,r3-r1,r4-r1
1+x 1 1 1
-x x 0 0
-x 0 y 0
-x 0 0 y
c1+c2+(x/y)c3+(x/y)c4
2+x+2x/y 1 1 1
0 x 0 0
0 0 y 0
0 0 0 y
行列式 = x*y*y*(2+x+2x/y) = x^2y^2 + 2x^2y + 2xy^2
可见,当y=0时,上式=0.
故行列式 = x^2y^2 + 2x^2y + 2xy^2x^2y^2 + 2x^2y + 2xy^2我怎么看不懂x^2表示 x的平方
推荐
- 行列式计算 x y x+y y x+y x x+y x y
- 线性代数:计算行列式 1+X 1 1 1 1 1+X 1 1 1 1 1+Y 1 1 1 1 1+Y
- ⅠX Y X+Y Ⅰ ⅠY X+Y X Ⅰ Ⅰ X+Y X YⅠ行列式计算
- 用行列式的性质计算1+x 1 1 1 1 1-x 1 1 1 1 1+y 1 1 1 1 1-y
- 用行列式性质计算(需过程):(x,y,x+y; y,x+y,x; x+y,x,y )
- When love beckons to you,follow him,though his ways are hard and steep.And when his wings enfold you,yield to him,though
- In order to study the s____in Russia ,Marx began to learn Russian in his sixties.
- 函数y=3|x|的递减区间是_.(用区间表示)
猜你喜欢