Row, Column and Null Space of a Matrix - Linear Algebra

The video gives the definition of and explains the difference between row, column and null space of a matrix, finding the basis using row echelon form, and row and column vectors. You will understand if row space is the same as null space, what is the null space is 0 and what is meant by them.

0:00 Row, column and null space
4:49 Consistency of Ax=b
6:56 Superposition of particular and homogeneous solution
11:04 Effect of row operations on matrix spaces
17:38 Basis for row and column space
24:54 Basis for column space from row-echelon form
30:05 Basis from a set of vectors, and linear combinations