This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: is a linear transformation, = ( 1, ) is a basis for V, = ( ? 1, ? ) is a basis for W = ? = [ ? 1 ] [ ? ] In 2 ( ) : ? 2 2 ? + 3 ( ? 2 , ? ,1) = 1 2 3 ? 2 2 ? + 3 (1, ? , ? 2 ) = 3 2 1 ? 2 2 ? + 3 ( ? 2 , ? ,3) = 1 2 1 Coordinates depend on choice of basis! D: 3 ( ) 2 ( ) (Differentiation) = ( ? 3 , ? 2 , ? , 1) = ( ? 2 , ? , 1) = ( ? 3 , ? 2 , ? ,1) ( ? 2 , ? ,1) = [ ? 3 ] [ ? 2 ] [ ? ] [ 1 ] = [3 ? 2 ] [2 ? ] [1] [0] = 3 2 1 ? : 2 2 ? 1 , 2 1 , 2 = cos sin sin cos...
View
Full
Document
 Fall '10
 ChristinaSaleh
 Linear Algebra, Algebra, Transformations

Click to edit the document details