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picture1_Matrices Pdf Notes 174474 | Linear Transformations Of The Plane


picture2_Matrices Pdf Notes 174474 | Linear Transformations Of The Plane picture3_Matrices Pdf Notes 174474 | Linear Transformations Of The Plane

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File: Matrices Pdf Notes 174474 | Linear Transformations Of The Plane
3 Linear Transformations of the Plane Now that we’re using matrices to represent linear transformations, we’ll nd ourselves en- countering a wide range of transformations and matrices; it ...

icon picture PDF Filetype PDF | Posted on 27 Jan 2023 | 2 years ago

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...Linear transformations of the plane now that we re using matrices to represent ll nd ourselves en countering a wide range and it can become dicult keep track which do what in these notes develop tool box basic easily be remembered by their geometric properties focus on t r itself thus corresponding transformation perhaps most important fact mind as determine dierent is rst second columns are given e respectively where standard unit vectors scaling want consider every vector some factor k x kx for if then does nothing this case so matrix call identity size denote either i or when obvious any other scale have suppose two maps scales say means its representation should kk indeed check agrees with our notion multiplication representing composition trans formations figure orthogonal projection v onto w next d like projecting line first project one another take look at orthogonally mean displacement projwv seen wecanseethatproj will scalar multiple let s write proj kw since require nownotice...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 27 Jan 2023 | 2 years ago
										
										
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