) 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 and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
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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
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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