Determine if Linear System is Consistent with Gaussian Elimination | Linear Algebra

We see how to use Gaussian elimination to determine if a linear system Ax=b is consistent, and specifically to find all column vectors b such that Ax=b is consistent. Using Gaussian elimination we reduce the augmented matrix to determine what restrictions, if any, are on the components of b. #linearalgebra

Linear Algebra course: Linear Algebra
Linear Algebra exercises: Linear Algebra Exercises

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0:00 Intro
1:06 Example 1, 3x3 System
3:48 Example 2, 2x2 System
5:14 Conclusion

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