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a) Calculate the matrix of minors of S. b) Calculate the matrix of cofactors of S (name it H) c) Calculate the determinant of S. d) Calculate the Adjoint of matrix of S using adj S = HT e) Calculate the inverse of matrix S using S₁ = adj 5/|S|

a) Calculate the matrix of minors of S. b) Calculate the matrix of cofactors of S (name it H) c) Calculate the determinant of S. d) Calculate the Adjoint of matrix of S using adj S = HT e) Calculate the inverse of matrix S using S₁ = adj 5/|S|

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A statically determinate truss is one of the early problems addressed in sophomore statics classes. A typical problem is shown in figure below: 2 Fapplied √30° F₁ F3 F2 02 3 L. Hinge Roller The applied force has a magnitude of 1000 N at an angle of 30° from the horizontal, as shown in the figure. The inner angles ₁ and 2 are 45° and 65° respectively. Determine the values of the forces in each member of the truss, and the reactive forces experienced at the hinge and the roller (nodes 2 and 3). Set up the problem using a simultaneous equation system. Use the method of the inverse matrix taught in the lectures. Follow the steps a) to e) as indicated below (assume "S" as the matrix representing the previous system. a) Calculate the matrix of minors of S. b) Calculate the matrix of cofactors of S (name it H) c) Calculate the determinant of S. d) Calculate the Adjoint of matrix of S using adj S = HT e) Calculate the inverse of matrix S using S₁ = adj S/|S|
Transcribed Image Text:A statically determinate truss is one of the early problems addressed in sophomore statics classes. A typical problem is shown in figure below: 2 Fapplied √30° F₁ F3 F2 02 3 L. Hinge Roller The applied force has a magnitude of 1000 N at an angle of 30° from the horizontal, as shown in the figure. The inner angles ₁ and 2 are 45° and 65° respectively. Determine the values of the forces in each member of the truss, and the reactive forces experienced at the hinge and the roller (nodes 2 and 3). Set up the problem using a simultaneous equation system. Use the method of the inverse matrix taught in the lectures. Follow the steps a) to e) as indicated below (assume "S" as the matrix representing the previous system. a) Calculate the matrix of minors of S. b) Calculate the matrix of cofactors of S (name it H) c) Calculate the determinant of S. d) Calculate the Adjoint of matrix of S using adj S = HT e) Calculate the inverse of matrix S using S₁ = adj S/|S|
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