Khan Academy
Khan Academy: Linear Algebra: More on Linear Independence
Video expands the examples of linearly independent and linearly dependent vectors shown in the previous video to give a formal definition of linearly dependent vectors. Shows a proof of the definition and then gives an example of using...
Khan Academy
Khan Academy: Linear Algebra: Null Space 3: Relation to Linear Independence
Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...
Khan Academy
Khan Academy: Linear Algebra: More on Linear Independence
Video expands the examples of linearly independent and linearly dependent vectors shown in the previous video to give a formal definition of linearly dependent vectors. Shows a proof of the definition and then gives an example of using...
Khan Academy
Khan Academy: Linear Algebra: Null Space 3: Relation to Linear Independence
Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...