You are testing an electrical device which can be modelled by the following equation: 1₁ + 2(1₁-1₂) + 4(1₁ - 1₂) = 4 31₂ + 4(1₂1₂) + 7 + 2(1₂− ₁) + 3(1₂ - 1₂) = 0 3125+ 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.
You are testing an electrical device which can be modelled by the following equation: 1₁ + 2(1₁-1₂) + 4(1₁ - 1₂) = 4 31₂ + 4(1₂1₂) + 7 + 2(1₂− ₁) + 3(1₂ - 1₂) = 0 3125+ 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Activity 1:
You are testing an electrical device which can be modelled by the following equations:
₁ + 2(1₁ − ₂) + 4(1₁ − ₂) = 4
31₂ + 4(1₂−1₂) + 7 + 2(I₂ − I₁) + 3(1₂− ₁) = 0
31₂5+ 2(1₁ - 1₂) = 0
(1-a)
Rearrange the above three equations into a standard form.
(1-b) Find 1₁, 12, 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F967bfed1-13a6-4ac4-97ef-581712971f35%2F940d32fc-cb5f-41a5-9129-fa58e5ae2404%2Fxk4857x_processed.png&w=3840&q=75)
Transcribed Image Text:Activity 1:
You are testing an electrical device which can be modelled by the following equations:
₁ + 2(1₁ − ₂) + 4(1₁ − ₂) = 4
31₂ + 4(1₂−1₂) + 7 + 2(I₂ − I₁) + 3(1₂− ₁) = 0
31₂5+ 2(1₁ - 1₂) = 0
(1-a)
Rearrange the above three equations into a standard form.
(1-b) Find 1₁, 12, 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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Follow-up Question
![(1-c) Find I1, I2, and I3 using the inverse matrix method.
(1-d) Verify your answers using MATLAB.](https://content.bartleby.com/qna-images/question/967bfed1-13a6-4ac4-97ef-581712971f35/ebb5707d-44de-4673-a412-201fe074cbd0/azc93fs_thumbnail.png)
Transcribed Image Text:(1-c) Find I1, I2, and I3 using the inverse matrix method.
(1-d) Verify your answers using MATLAB.
Solution
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