Engineering Circuit Matrix Problem - Get Help Solving MIT Courseware

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The discussion revolves around understanding the steps involved in solving a circuit matrix problem from MIT open courseware. The user seeks clarification on how to manipulate matrices to derive results e1 and e2, expressing unfamiliarity with matrix operations. A response indicates that the solution involves multiplying both sides of the equation by the inverse of the conductivity matrix. A link to a resource on matrix inverses is provided for further assistance. This exchange highlights the importance of grasping matrix manipulation techniques in circuit analysis.
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Hello, This problem isn't for a homework equation of mine.. But I am going over the MIT open courseware for this class before I enter it. Could someone tell me the steps taken on the bottom part of this matrix to come to the results of e1 and e2? I am not very familiar with how to manipulate matrices.. I have uploaded a picture of the problem.. I am not even sure how to get from that top equation to the middle one. Any help is appreciated..
 

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Would said:
Hello, This problem isn't for a homework equation of mine.. But I am going over the MIT open courseware for this class before I enter it. Could someone tell me the steps taken on the bottom part of this matrix to come to the results of e1 and e2? I am not very familiar with how to manipulate matrices.. I have uploaded a picture of the problem.. I am not even sure how to get from that top equation to the middle one. Any help is appreciated..

He has just multiplied both sides by the inverse of the conductivity matrix. Look here:

http://www.mathwords.com/i/inverse_of_a_matrix.htm
 

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