【摘要】 通常计算Jacobi行列式的方法是通过先求出行列式的每个元素再求得行列式的值.利用相同元素的外微分为零的性质来求解Jacobi行列式,这种方法的最大优点是避开了求解变换的行列式的元素,所以比通常的方法要简便得多.作为这一方法的应用,我们计算了几个重要的Jacobi行列式,推导了矩阵F分布的顺序特征值的联合分布.更多还原

【Abstract】 Usually we calculates Jacobi through calculate the Jacobi matrix’s elements.This paper uses property that the same elements have zero exterior product to calculate the Jacobi.The greatest merit of our method is it need not to calculate the elements about the Jacobi matrix.So it is much simpler than the former one.To make use of our method,this paper proves some important Jacobi interested to us through this method.And deduces the eigenvalue’ joint distribution of matrix F distribution.更多还原