1.计算阶行列式1+a1 a2 a3 .ana1 1+a2 a3 .ana1 a2 1+a3.an....a1 a2 a3 .1+an证明下列等式x y z w a b c d |x+w y+z|| x-w y-z| d c b a =|a+d b+c|| a-d b-c|w z y xx y z w a b c d |x+w y+z|| x-w y-z| d c b a =|a+d b+c|
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![1.计算阶行列式1+a1 a2 a3 .ana1 1+a2 a3 .ana1 a2 1+a3.an....a1 a2 a3 .1+an证明下列等式x y z w a b c d |x+w y+z|| x-w y-z| d c b a =|a+d b+c|| a-d b-c|w z y xx y z w a b c d |x+w y+z|| x-w y-z| d c b a =|a+d b+c|](/uploads/image/z/9491831-71-1.jpg?t=1.%E8%AE%A1%E7%AE%97%E9%98%B6%E8%A1%8C%E5%88%97%E5%BC%8F1%2Ba1+a2+a3+.ana1+1%2Ba2+a3+.ana1+a2+1%2Ba3.an....a1+a2+a3+.1%2Ban%E8%AF%81%E6%98%8E%E4%B8%8B%E5%88%97%E7%AD%89%E5%BC%8Fx+y+z+w+a+b+c+d+%EF%BD%9Cx%2Bw+y%2Bz%EF%BD%9C%EF%BD%9C+x-w+y-z%EF%BD%9C+d+c+b+a+%3D%EF%BD%9Ca%2Bd+b%2Bc%EF%BD%9C%EF%BD%9C+a-d+b-c%EF%BD%9Cw+z+y+xx+y+z+w+a+b+c+d+%EF%BD%9Cx%2Bw+y%2Bz%EF%BD%9C%EF%BD%9C+x-w+y-z%EF%BD%9C+d+c+b+a+%3D%EF%BD%9Ca%2Bd+b%2Bc%EF%BD%9C)
1.计算阶行列式1+a1 a2 a3 .ana1 1+a2 a3 .ana1 a2 1+a3.an....a1 a2 a3 .1+an证明下列等式x y z w a b c d |x+w y+z|| x-w y-z| d c b a =|a+d b+c|| a-d b-c|w z y xx y z w a b c d |x+w y+z|| x-w y-z| d c b a =|a+d b+c|
1.计算阶行列式
1+a1 a2 a3 .an
a1 1+a2 a3 .an
a1 a2 1+a3.an
....
a1 a2 a3 .1+an
证明下列等式
x y z w
a b c d |x+w y+z|| x-w y-z|
d c b a =|a+d b+c|| a-d b-c|
w z y x
x y z w
a b c d |x+w y+z|| x-w y-z|
d c b a =|a+d b+c|| a-d b-c|
w z y x
以前没有写清楚 等号前面的阶行列式等于后面两个小阶行列式的乘积
1.计算阶行列式1+a1 a2 a3 .ana1 1+a2 a3 .ana1 a2 1+a3.an....a1 a2 a3 .1+an证明下列等式x y z w a b c d |x+w y+z|| x-w y-z| d c b a =|a+d b+c|| a-d b-c|w z y xx y z w a b c d |x+w y+z|| x-w y-z| d c b a =|a+d b+c|
1
都加到第一列提出1+a1+……+an
第一列都变成1然后用第二列减第一列的a2倍
依次减
就成了上三角的行列式
2
没看懂你写的意思