来自罗庆生的问题
矩阵迹的计算tr(AB)=tr(BA)
矩阵迹的计算
tr(AB)=tr(BA)
1回答
2020-05-15 01:18
矩阵迹的计算tr(AB)=tr(BA)
矩阵迹的计算
tr(AB)=tr(BA)
设A=﹙aij﹚B=﹙bij﹚tr﹙AB﹚=∑[1≤i≤n]∑[1≤j≤n]aij×bjitr﹙BA﹚=∑[1≤i≤n]∑[1≤j≤n]bij×aji[把字母i,j对换]=∑[1≤j≤n]∑[1≤i≤n]bji×aij[bji×aij=aij×bji]=∑[1≤j≤n]∑[1≤i≤n]aij...