Linear Dependence and Independence of Vectors | Linear Algebra Exercises

We go over six examples of showing a set of vectors is linearly independent or not linearly independent. We do this by seeing if vectors are multiples of each other, linear combinations of each other, and ultimately by using Gauss-Jordan or determinants to make conclusions about homogenous linear systems. #linearalgebra

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

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0:00 Intro
0:19 Definition of Linear Independence
0:34 Are the 2 Vectors in R^3 Linearly Independent?
1:18 Are the 3 Vectors in R^2 Linearly Independent?
2:44 Are the 2 Vectors in R^3 Linearly Independent?
3:47 Are the 2 Matrices in M22 Linearly Independent?
4:26 Linear Independence Theorem
5:04 Are 3 Vectors in R^3 Independent?
6:19 Gauss-Jordan to Show Linear Independence
6:45 Determinant to Show Linear Independence
7:44 Are 4 Vectors in R^4 Independent?
8:34 Gauss-Jordan to Show Linear Independence
9:26 Determinant to Show Linear Independence
9:44 Conclusion

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