Numerical Methods/Linear Algebra: Cramer's Rule for 3 Linear Equations (3x3 Matrix) | Step-by-Step
In this video, we outline the 5 steps for Cramer's Rule and go through them together via an example (3x3 matrix). We also aim to add some context to this method for Numerical Methods/Computation students, to help you understand how this method compares to other ways of solving systems of linear equations (i.e., Gauss Elimination, Gauss Jordan, LU Decomposition).
In comparison to these previously mentioned methods, Cramer's Rule is a nice way to solve a system of two or three equations, but becomes more and more complex to do by hand with larger system equations (and computationally expensive for computers). For a 3x3 system, we already need to evaluation 4 determinants, which is time consuming! ("n" equations requires "n+1" determinants...)
Check out our free Numerical Methods course on our website: https://stem-tutorials.com/tutorials/...
Video Sections:
0:00 - Introduction on Solving System of Equations
0:52 - Cramer's Rule Example
