Exercise 8. We consider the following linear systems: ) ( 3 ) = ( :) (...
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Exercise 8. We consider the following linear systems: ) ( 3 ) = ( :) ( 3 ) = ( 1. Compute the condition number of the matrix of the linear systems. 2. Compute the solutions of the two linear systems, and comment. 3. Which linear system is ill conditioned. Exercise 9. Let be 1 (²2 2 2 4.000001 1 2 2 4.000001 3 6.000001 :) 3 5.999999 34 34 A = (²4), B = (24). (23).. Use the result that give the inverse of low rank perturbed matrix to evaluate B-¹. Exercise 8. We consider the following linear systems: ) ( 3 ) = ( :) ( 3 ) = ( 1. Compute the condition number of the matrix of the linear systems. 2. Compute the solutions of the two linear systems, and comment. 3. Which linear system is ill conditioned. Exercise 9. Let be 1 (²2 2 2 4.000001 1 2 2 4.000001 3 6.000001 :) 3 5.999999 34 34 A = (²4), B = (24). (23).. Use the result that give the inverse of low rank perturbed matrix to evaluate B-¹.
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