(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 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

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Author:Robert L. Boylestad
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hi, can you help me with all parts of this question.

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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
Determine the values of i, 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
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 Determine the values of i, 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
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(b) Determine the eigenvalues and eigenvectors of the matrix:
20
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Transcribed Image Text:(b) Determine the eigenvalues and eigenvectors of the matrix: 20 1
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