问题
填空题
设n阶矩阵A=[aijn×n,n维向量
,则XTAX+XTAY-YTAX-YTAY=______.
答案
参考答案:an1
解析:[提示] XTAX+XTAY-YTAX-YTAY=XTA(X+Y)-YTA(X+Y)=(X-Y)TA(X+Y).
设n阶矩阵A=[aijn×n,n维向量
,则XTAX+XTAY-YTAX-YTAY=______.
参考答案:an1
解析:[提示] XTAX+XTAY-YTAX-YTAY=XTA(X+Y)-YTA(X+Y)=(X-Y)TA(X+Y).