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.
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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