设α=[1,0,1]T,A=ααT,n是正数,则|aE-An|=______

admin2017-12-11  25

问题 设α=[1,0,1]T,A=ααT,n是正数,则|aE-An|=______

选项

答案a2(a-2n)

解析 A=ααT=
An=(ααT)n=ααTααT…αTα=α(αTα)(αTα)…(αTα)αT=2n-1A,

=a[(a-2n-1)2-(-2n-1)2]
=a(a2-a2n)=a2(a-2n).
转载请注明原文地址:https://kaotiyun.com/show/F5r4777K
0

随机试题
最新回复(0)