大一线性代数练习题五套(带答案)(3)

2 102E A 0 0400 200 n , A.024 002

100

5 2 10 ,AA. 211 100 ,P 02F AP PB, B 000 00 1

cos 02G sin sin cosn sinn cos n sinn .cosn

02H A E T, E n , n , T , :

(1)A2 A T 1;

(2) T 1 ,A .

03A

(1) A 1,(A) _________. 000 n 1 n00 0

0 0 ,B (E A) 1(E A), (E B) 1 ________.0 7

1010 002 00 00 1 230 (2) A 0 45 0 6 0(3) A n , (A E)2 2(A E)2, A ___________.

(4) A,B ,E ,

0 2 1 AB A 2B,B 0 10 , 201

(A 2E) 1 __________.

(5) n A,B A*BA 4BA 2E, |A| 2,|E 2A| 0, B ___________.

.13.