Basis for Null Space of a matrix A/Basis and Dimension of a matrix A.

Basis for Null Space of a matrix A/Basis and Dimension of a matrix A.The null space of a matrix is the collection of all vectors such as Ax=0,to find basis simply perform row operation on A to obtain reduce row echelon form identify the basis and the free variable in the system.write this solution as a linear combination of free variable times a vector . this vectors are the basis of the null space . and the number of vector is the dimension of the space.