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Write a matrix equation that determines the loop currents. [M] If MATLAB or another matrix program is available, solve the system for the loop currents.

(b) $\left[\begin{array}{c}{6.36} \\ {8.14} \\ {11.73} \\ {4.78}\end{array}\right]$

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 10

Linear Models in Business, Science, and Engineering

Introduction to Matrices

Campbell University

Oregon State University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

02:45

Write a matrix equation th…

03:10

03:50

Determine the solution set…

01:02

Write each system as a mat…

03:42

25:43

Determine the general solu…

04:39

06:51

10:44

21:06

Okay, So in this proper and face on the cardinal formula, um, we know that the voltage you closed to the total current I turns on the total resistance in each group. So based on this equation, we can ride out for difference for different equations for each loop. So for the first look, we have six I one miners. I ju equals toe 30. Um, this for the second group, we have miners, I want plus nine times I to minors. For I three equals to 20. The third loop is minors. For I to a class seven I three miners two times I four equals to 40. And for the last hope, we have minus 203 plus seven. High four equals to 40. And we can turn worth this system of equations into the into a matrix form. I just collect this coefficient in front, off each variable I want try for and put them in a metrics. And then times are column vector. So I want I chew. I've read in 94 he closed to the wattage in each look. And, uh, once we once we write out this metrics, we can use the calculator. Teoh, get the solution to this system off equations, and I just direct you write it out. Okay, so this is the solution to this equation.

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