Activity 1: You are testing an electrical device which can be modelled by the following equations: ₁ + 2(1₁1₂) + 4(1₁ - 1₂) = 4 31₂ + 4(121₂) + 7 + 2(1₂ − I₁) + 3(1₂1₁) = 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 13 using the inverse matrix method. (1-d) Verify your answers using MATLAB.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
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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