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Question: A different perspective. the theorems of Cayley-Hamilton and Gershgorin

Question:A different perspective. the theorems of Cayley-Hamilton and Gershgorin

laporte bernard 45 Maple 12
linear-algebra homework eigenvalues
November 10 2014
0

Draw the Gershgorin circles for the given matrix A and find a bound  for |lambda| if lambda is an eigenvalue of A.                  

 

 

Matrix(4, 4, {(1, 1) = 3, (1, 2) = -1/2, (1, 3) = -1/3, (1, 4) = 0, (2, 1) = 0, (2, 2) = 6, (2, 3) = 1, (2, 4) = 0, (3, 1) = 1/3, (3, 2) = -1/3, (3, 3) = 5, (3, 4) = 1/3, (4, 1) = -1/2, (4, 2) = 1/4, (4, 3) = -1/4, (4, 4) = 4}

 

 
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