填空题
设三阶矩阵A=(α,γ
1
,γ
2
),B=(β,γ
1
,γ
2
),其中α,β,γ
1
,γ
2
是三维列向量,且|A|=3,|B|=4,则|5A-2B|= 1.
【正确答案】
1、正确答案:63
【答案解析】解析:由5A-2B=(5a,5γ
1
,5γ
2
)-(2β,2γ
1
,2γ
2
)=(5α-2β,3γ
1
,3γ
2
),得 |5A-2B|=|5α-2β,3γ
1
,3γ
2
|=9|5α-2β,γ
1
,γ
2
| =9(5|α,γ
1
,γ
2
|-2|β,γ
1
,γ
2
|)=63.