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picture1_Matrix Pdf 174155 | Samrit Ch


picture2_Matrix Pdf 174155 | Samrit Ch picture3_Matrix Pdf 174155 | Samrit Ch

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File: Matrix Pdf 174155 | Samrit Ch
Cayley- Hamilton Theorem Samrit Grover July 2020 1 Introduction The Cayley - Hamilton Theorem was rst proved in 1853 by mathemati- cians Arthur Cayley and William Rowan Hamilton. It states ...

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

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...Cayley hamilton theorem samrit grover july introduction the was rst proved in by mathemati cians arthur and william rowan it states that every square matrix over a commutative ring satises its own characteristic equa tion one of most common collaries to this is jordan normal form which any similar block diagonal with blocks on paper assumes basic knowl edge linear algebra vector spaces dependence independence let x be n whose values lie f det k polynomial than following holds true proof wehave adj we get adjoin has ij where are polynomials degree at for i j wecan rewrite adjoint as b bn some nbyn matrices from here can equation coecients ab na abn nk multiply each these equations respectively aa proceed see sum left telescopes zero while right just therefore have achieved our desired result daily applications often expressed many products arounds something fail recognize notable elds use designing their automation quantum mechanics electrical engineering etc all require cayler helps si...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 27 Jan 2023 | 2 years ago
										
										
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