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picture1_Matrix Pdf 174015 | 3013 L04


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File: Matrix Pdf 174015 | 3013 L04
LECTURE 4 Matrices and Matrix Algebra, Cont’d 1. Examples of Matrix Multiplication Recall from the preceding lecture our denition of matrix multiplication. Definition 4.1. Let A be an ...

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

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...Lecture matrices and matrix algebra cont d examples of multiplication recall from the preceding our denition definition let a be an m by n b s t if product abis not dened i e number columns does equal numbe rows is then ab whose entries ij are prescribed j in nj aikbkj k other words entry jth column ith row dot vector correspondind to corresponding now compute some illustrative example exist because we need same rst factor as there second so even though correspond dimensional their products with arenotthesame operations two necessarily ba commutative general indeed it can happen that exists but note this circumstances partially explains paradox denote ifweinterprete asabymatrixv only av interprete va for real numbers x implies evidently case zero xy either ory neither or muliplying any just replicates ai ia above generalizes arbitrary square motivates following given iij along diagonal running upper left lower right everywhere else call such identity has property aforall except r scala...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 27 Jan 2023 | 2 years ago
										
										
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