6.
設矩陣\(A=\left(\matrix{0&-1 \cr 1&2}\right)\),若\(A^{111}=\left(\matrix{a&b \cr c&d}\right)\),則\(a+c+d=\)?
(A)110 (B)111 (C)112 (D)113
我的教甄準備之路 矩陣n次方,
https://math.pro/db/viewthread.php?tid=661&page=3#pid14875
[提示]
特徵值1,1重根,\(A^n=\left(\matrix{-n+1&-n \cr n&n+1}\right)\)
23.
極限值\(\displaystyle \lim_{n\to \infty}\sum_{k=0}^n \left(\frac{k}{n}\right)^4\)為
(A)\(\displaystyle \frac{1}{2}\) (B)\(\displaystyle \frac{1}{3}\) (C)\(\displaystyle \frac{1}{4}\) (D)\(\displaystyle \frac{1}{5}\)
我的教甄準備之路 黎曼和和夾擠定理,
https://math.pro/db/viewthread.php?tid=661&page=3#pid23615