设A是3*3矩阵.|A|=1.把A分块为A=(A1,A 2,A3),求|A3,4A1,-2A2,-A3|

问题描述:

设A是3*3矩阵.|A|=1.把A分块为A=(A1,A 2,A3),求|A3,4A1,-2A2,-A3|
好像不是行列式了呀

|A3,4A1,-2A2,-A3|
是啊 这是3行4列的,题目有误.
估计是
|A3+4A1,-2A2,-A3|
c1+c4
= |4A1,-2A2,-A3|
= 4x(-2)x(-1)|A1,A2,A3|
= 8|A|
= 8