You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁-1₂)+4(1₁-13) = 4 312 + 4(1213) + 7 + 2(1₂−1₁) + 3(1₂−1₁) = 0 313-5+2(1₁-1₂) = 0 (1-a) Rearrange the above three equations into a standard form. (1-b) Find I1, I2, and 13 using the Gaussian elimination method. (1-c) Find I₁, I2, and I3 using the inverse matrix method.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 65EQ
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Activity 1:
You are testing an electrical device which can be modelled by the following equations:
1₁ + 2(1₁ − 1₂) + 4(1₁ − 13) = 4
31₂ + 4(1₂−13) + 7 + 2(I₂ − I₁) + 3(1₂− ₁) = 0
313 -5 + 2(1₁ - 1₂) = 0
(1-a) Rearrange the above three equations into a standard form.
(1-b) Find I1, I2, and 13 using the Gaussian elimination method.
(1-c) Find I₁, I2, and I3 using the inverse matrix method.
(1-d) Verify your answers using MATLAB.
Transcribed Image Text:Activity 1: You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁ − 1₂) + 4(1₁ − 13) = 4 31₂ + 4(1₂−13) + 7 + 2(I₂ − I₁) + 3(1₂− ₁) = 0 313 -5 + 2(1₁ - 1₂) = 0 (1-a) Rearrange the above three equations into a standard form. (1-b) Find I1, I2, and 13 using the Gaussian elimination method. (1-c) Find I₁, I2, and I3 using the inverse matrix method. (1-d) Verify your answers using MATLAB.
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