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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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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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(1-c) Find I1, I2, and I3 using the inverse matrix method. (1-d) Verify your answers using MATLAB.
Transcribed Image Text:(1-c) Find I1, I2, and I3 using the inverse matrix method. (1-d) Verify your answers using MATLAB.
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