In linear algebra, Matrix rank is the maximum number of independent row or column vectors in the matrix. Use this free online algebra calculator to find the rank of a matrix of 3x3 dimension. The simplest way to find it is to reduce the matrix to its simplest form. I.e, transforming the matrix to its row echelon form and count the number of non-zero rows.
If a is less than b, then the maximum rank of matrix is a.
If a is greater than b, then the maximum matrix rank is b.
The rank of a matrix is zero, only if it has no elements and it is 1, if the matrix has even one element.