Basic math definitions

1. Divergence of vector field defines the degree of expansion or outward flow of that vector field. It is said to be positive if vector field moves outward and negative if vector field moves inward.

2.Gradient of vector is defined as rate of change of that particular vector.

3.Curl of vector field defines degree of rotation of that vector field. If fluid is irrotational,its curl is said to be 0 and if fluid is rotaional, its curl is said to be non zero

4. Row Rank of matrix defines the number of non zero rows that the matrix has when the matrix is reduced to row echelon form. Similarly Column Rank of matrix defines the number of non zero rows that the matrix has when the matrix is reduced to column echelon form.