) An electrical circuit is analysed using mesh analysis resulting in the following system of quations: iį +i, +2i, = 9 4i, + 4i, – 3i, = 3 Si, +i, +2i, =13 etermine the values of i1, iz and i3: (i) Using Cramer's rule (ii) By writing the system in matrix form and finding the inverse of the coefficient matrix (iii) Using Gaussian elimination
) An electrical circuit is analysed using mesh analysis resulting in the following system of quations: iį +i, +2i, = 9 4i, + 4i, – 3i, = 3 Si, +i, +2i, =13 etermine the values of i1, iz and i3: (i) Using Cramer's rule (ii) By writing the system in matrix form and finding the inverse of the coefficient matrix (iii) Using Gaussian elimination
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 11E
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Question
could you please help with q3 (a) and (b)
![Question 3
(a) An electrical circuit is analysed using mesh analysis resulting in the following system of
equations:
į +i, +2i, = 9
4i, + 4i, – 3i, = 3
Si, +i, +2i, = 13
%3D
Determine the values of i1, i2 and i3:
(i) Using Cramer's rule
(ii) By writing the system in matrix form and finding the inverse of the coefficient matrix
(iii) Using Gaussian elimination
(b) Determine the eigenvalues and eigenvectors of the matrix:
20
1 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe30cbfa2-6304-4faf-9790-6a1502b52747%2Fe1e86d38-cd24-4580-9a2c-1fd168169b82%2Fwshwun_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3
(a) An electrical circuit is analysed using mesh analysis resulting in the following system of
equations:
į +i, +2i, = 9
4i, + 4i, – 3i, = 3
Si, +i, +2i, = 13
%3D
Determine the values of i1, i2 and i3:
(i) Using Cramer's rule
(ii) By writing the system in matrix form and finding the inverse of the coefficient matrix
(iii) Using Gaussian elimination
(b) Determine the eigenvalues and eigenvectors of the matrix:
20
1 3
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