A circuit has four resistors and two voltage sources. The resistors are R1= 0.001, R₂ = 3.33, R3 = 4, and R4 = 0.012 ohms; the voltage sources are E₁ = 12 and E₂ = 10 volts; and the current are 1₁, 12, and i3 amps. By using Kirchohoff's laws, we have the linear system 0.013i₁ +3.331₂ 0.013i₁ 1₁ 1₂ = 22 + 413 = 12 13 = 0 (a) Use Gaussian elimination without pivoting and three-digit rounding to solve the system. (b) Use Gaussian elimination with partial pivoting and three-digit rounding to solve the system. (c) Use Gaussian elimination with complete pivoting and three-digit rounding to solve the system.

A circuit has four resistors and two voltage sources. The resistors are R1= 0.001, R₂ = 3.33, R3 = 4, and R4 = 0.012 ohms; the voltage sources are E₁ = 12 and E₂ = 10 volts; and the current are 1₁, 12, and i3 amps. By using Kirchohoff's laws, we have the linear system 0.013i₁ +3.331₂ 0.013i₁ 1₁ 1₂ = 22 + 413 = 12 13 = 0 (a) Use Gaussian elimination without pivoting and three-digit rounding to solve the system. (b) Use Gaussian elimination with partial pivoting and three-digit rounding to solve the system. (c) Use Gaussian elimination with complete pivoting and three-digit rounding to solve the system.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...

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