For Problems 19–25, reduce the given matrix to reduced rowechelon form and hence determi...

For Problems 19–25, reduce the given matrix to reduced rowechelon form and hence determine the rank of each matrix.

Many forms of technology have commands for performing elementary row operations on a matrix A. For example, in the linear algebra package of Maple, the three elementary row operations are

• swaprow(A, i, j): permute rows i and j

• mulrow(A, i, k): multiply row i by k

• addrow(A, i, j): add k times row i to row j