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 space is the zero vector then the column vectors of the matrix are linearly independent. Demonstrates that the reduced row echelon form of the matrix will be the identity matrix. This video also appears in the strand Algebra: Matrices. [11:35]