In this module, we write KCL and KVL equations to solve for the node voltages and loop currents, respectively. In our analysis, we end up having a linear set of equations for our node voltage and loop current. This tutorial revises the different methods of solving linear equations simultaneously. The three videos posted below go over four different methods of solution, with two of them focusing on formatting the problem in matrix form and getting the inverse of a matrix.
Learning Objectives
After completing this module, you should be able to:
1. Solving a set of linear equations simultaneously, using four different approaches.
2. Form the set of linear equations into a matrix form.
3. Solve the system of equations by taking the inverse of the coefficient matrix.
Videos
Title: M1V1 – Solution of Simultaneous Equations (substitution, elimination, and graphical methods)
Summary: In this video, we learn how to solve simultaneous equations using the substitution, elimination, and graphical methods.
Learning Objectives: After watching this lecture, you will be able to 1) Solve a set of linear equations simultaneously, using three different approaches: substitution, elimination, and graphical.
Transcript: Read the transcript
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Title: M1V2 – Solution of Simultaneous Equations: Matrix Form
Summary: In this video, we learn how to represent a set of linear equations in a matrix form.
Learning Objectives: After watching this lecture, you will know how to solve equations in matrix form
Transcript: Read the transcript
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Title: M1V2 – Solution of Simultaneous Equations – Part 3 of 3; Matrix Inverse
- Solve the system of equations by taking the inverse of the coefficient matrix.
Transcript: Read the transcript
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