| [ QuizWit ] in KIDS 글 쓴 이(By): mkjung (LOVER) 날 짜 (Date): 2000년 8월 11일 금요일 오전 03시 56분 25초 제 목(Title): matrix puzzle prove the following. (well check out kaist board for the motiviation of this puzzle. ^^ ) det (I+A) = detr_0(A) + ... detr_n(A) where detr_0(A)= 1, detr_1(A)= tr(A) and detr_i(A) is the sum of the determinant of i-th principal minors. advanced puzzle. expand det(A+B) using the previous result on det(I+A). believe it or not, this expansion has very close relationship with Morse theorem in differential geometry. HUMAN BRAiN좲APPiNG http://www.math.mcgill.ca/chung |