线性代数 期末试卷及答案 (谢国瑞)

期末试卷配套教材：

书名：线性代数
作者：谢国瑞 汪国强 郝志峰
出版社：高等教育出版社

期末试卷概述：

一. (18%)填空题(E表示单位矩阵). 1. 假设 = (1, 3), = (1, 1), 则(T)100 = ________. 解: T = (1, 1) = , T = (1, 1) = 2, (T)100 = (T)(T)(T)...(T)(T) = T(T)(T)... (T) = T(2)99 = 299T = . 2. 矩阵A = 的逆矩阵A1 = ________. 解: (法一) |A| = 14 23 = 4 6 = 2. A* = , A1 = A* = . (法二) (A, E) = . 由此可得A1 = .