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Unformatted text preview: Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). For these arrows, there are two operations defined on them. Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). For these arrows, there are two operations defined on them. Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). For these arrows, there are two operations defined on them. Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). For these arrows, there are two operations defined on them. Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation (Cont’d) Arrows ←→ Column Matrices Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation (Cont’d) Arrows ←→ Column Matrices Operations on vectors ←→ Matrix operations u 1 u 2 + v 1 v 2 Chapter 3. Vector SpacesChapter 3....
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This note was uploaded on 09/06/2010 for the course MATH MATH1111 taught by Professor Forgot during the Fall '08 term at HKU.
 Fall '08
 forgot
 Math, Vector Space

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