设A为4阶矩阵,且|A|=1/3,那么|1/2A^T|=?
问题描述：
设A为4阶矩阵,且|A|=1/3,那么|1/2A^T|=?
答
|1/2A^T|
= (1/2)^4 |A^T|
= (1/16) |A|
= (1/16) (1/3)
= 1/48