本週預定完成作業

一: Discrete Mathematics (Ch 8.1: No.10, 24, 31, 34, 37, 38
Ch 8.2: No.7, 12, 19, 23, 32, 33, 34)
二: Mathematics Analysis
((i) Rudin Ch 6: No.1, 2, 3, 4, 5
(ii) Proof: Let f:[a,b]->R be continuous , M=maxf(x)
x€[a,b]

proof that lim( ∫ a to b f(x)^n dx)^(1/n)=M
n->∞
(iii) N has measure zero , R has measure zero
(iv) pp 126-127 (Rudin)

三: Advanced Linear Algebra(II) :(Ch:5.1 :No 6,8,15)
(if T is invertible , then T is diagonalizable (?))
(Transpose of A, A :find the relationship of eigenvector)


四: Statistics(I):(3.1-10, 3.2-17, 3.3-15, 5.2-15∗, 6.1-9, 2.2-14, 2.3-4, 2.3-5(a)∗, 2.3-7, 2.5-21, 2.6-13∗, 4.3-4)

五: Algebra: (Ch13: No.29,44,47,49,50,52)