Question

Rank of a matrix ?

Answer 1

The rank of a matrix is the dimension of the vector space generated by its rows or columns.

Answer 2

The rank of a matrix is defined as the dimension of the vector space which is generated by the columns of the matrix. It can be determined by converting the matrix to row echelon form and counting the number of non-zero rows, or by using the determinant method for square matrices. The rank has important applications in linear algebra, including solving systems of linear equations and determining linear independence.