Week1 - ECON 117 Mathematical Economics Spring 2008 Week 1...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
ECON 117 Spring 2008 Mathematical Economics Week 1 I. The Basics on Sets and Real Functions 1. Vectors (a) Denote in the following X-Y space. () 1,1 = a x y (b) Denote in the above diagram. 2 a Page 1 of 6
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ECON 117 Spring 2008 Mathematical Economics (c) Find () 2,1 , 1,2 . == ab + and draw it. (d) How about ? (e) Find 5,0 , 0,5 . ( ) 1 λλ +− ⋅ , where λ \ . Def): A linear combination of two vectors (narrow meaning) , 12 ,,, n n aa a =∈ a …\ ( ) n n bb b b Then, ( ) ( ) 11 , , 1 n a ⋅+ − ⋅= + − " n b is a linear combination of and b . a Page 2 of 6
Background image of page 2
ECON 117 Spring 2008 Mathematical Economics (f) How about , where () 1 λλ ⋅+ − ⋅ ab 01 λ ? (g) Find ()( 1, 0, 0 , 0,1,1 . == ) ( ) 1 +− ⋅ , where . Page 3 of 6
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ECON 117 Spring 2008 Mathematical Economics 2. Sets (Definition) A set is a collection of distinct objects. The objects in a set are called the members or elements of the set. (Notations) 1) is a set and A x is a member of . Then, we denote A x A . 2) If set A has no member, we call it an empty set and denote { } A = or A = ∅ .
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 6

Week1 - ECON 117 Mathematical Economics Spring 2008 Week 1...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online