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You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁ −1₂) + 4(1₁ − 1₂) = 4 312 + 4(1₂-13) + 7 + 2(1₂−1₁) + 3(1₂-4₁) = 0 31₂-5+2(1₁ - 1₂) = 0 (1-a) Rearrange the above three equations into a standard form. (1-b) Find I1, I2, and I3 using the Gaussian elimination method. (1-c) Find 11, 12, and 13 using the inverse matrix method.

You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁ −1₂) + 4(1₁ − 1₂) = 4 312 + 4(1₂-13) + 7 + 2(1₂−1₁) + 3(1₂-4₁) = 0 31₂-5+2(1₁ - 1₂) = 0 (1-a) Rearrange the above three equations into a standard form. (1-b) Find I1, I2, and I3 using the Gaussian elimination method. (1-c) Find 11, 12, and 13 using the inverse matrix method.

Advanced Engineering Mathematics
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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Activity 1: You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁1₂) + 4(1₁ - 1₂) = 4 312 + 4(12−13) + 7 + 2(1₂ − I₁) + 3(1₂ - 1₂) = 0 313 5+2 (1₁-1₂) = 0 (1-a) Rearrange the above three equations into a standard form. (1-b) Find I1, I2, and I3 using the Gaussian elimination method. (1-c) Find I1, I2, and I3 using the inverse matrix method.
Transcribed Image Text:Activity 1: You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁1₂) + 4(1₁ - 1₂) = 4 312 + 4(12−13) + 7 + 2(1₂ − I₁) + 3(1₂ - 1₂) = 0 313 5+2 (1₁-1₂) = 0 (1-a) Rearrange the above three equations into a standard form. (1-b) Find I1, I2, and I3 using the Gaussian elimination method. (1-c) Find I1, I2, and I3 using the inverse matrix method.
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