( 1, 1, 1, 1, 1, 1, 1), ( 2^6, 2^5, 2^4, 2^3, 2^2, 2, 1 ), ( 3^6, 3^5, 3^4, 3^3, 3^2, 3, 1 ), ( 4^6, 4^5, 4^4, 4^3, 4^2, 4, 1 ), ( 5^6, 5^5, 5^4, 5^3, 5^2, 5, 1 ), ( 6^6, 6^5, 6^4, 6^3, 6^2, 6, 1 ), ( 7^6, 7^5, 7^4, 7^3, 7^2, 7, 1 ) = ?

( 1, 1, 1, 1, 1, 1, 1), ( 2^6, 2^5, 2^4, 2^3, 2^2, 2, 1 ), ( 3^6, 3^5, 3^4, 3^3, 3^2, 3, 1 ), ( 4^6, 4^5, 4^4, 4^3, 4^2, 4, 1 ), ( 5^6, 5^5, 5^4, 5^3, 5^2, 5, 1 ), ( 6^6, 6^5, 6^4, 6^3, 6^2, 6, 1 ), ( 7^6, 7^5, 7^4, 7^3, 7^2, 7, 1 ) = ?
Anonim

回答:

#-24883200#

说明:

#“这是Vandermonde矩阵的决定因素。”#

#“众所周知,决定因素是”#的产物

#“基数的差异(或连续的”# # “的权力)。” #

#“所以我们在这里”#

#(6!)(5!)(4!)(3!)(2!)#

#'= 24,883,200'#

#“与Vandermonde矩阵有一个区别”#

#“那就是最低功率通常在左侧”#

矩阵的#“所以列是镜像的,这给了一个额外的”#

#“减号给结果:”#

#“determinant = -24,883,200”#