3 2 1
2. The rank of A is
1. Let A = 1 3
4 5
1
(a) 2
(b) 3
(c) 0
(d) 4
(e) 1
2. Let P2 = cfw_a0 +a1 t+a2 t2 where cfw_a0 , a1 , a2 range over all real numbers, and let T : P2 P2
be a linear transfo
Chapter 3
Problems
G H6 1 different} = P{6, different}/P{diff6rentl
- P{Ist = 6,2nd i 6} + P{lst ¢ 6,2nd = 6}
5/6
= 21/6 5/6 :18
could also have been solved by using reduced sample spacefor given tha
Name:
Section:
Multiple Choice
1.(2 pts.) The area of the region enclosed by the curves y = x2 and y = (x 1)2 + 1 is
given by the integral:
1
1
(x 1)2 + 1) dx (b)
(a)
1
0
(2x 2x2 ) dx
0
(2x 2x2 ) dx
(
Chapter 1
Problems
(I) (a) By the generalized basic principle of counting there are
26- 26 10 10- 1(3- 10- 10:67,600,000
(b) 2625-10-9'8-7-6219,656,{}09
xx,
/
There are 4! possible arrangements. By as