Rank is an important property of a matrix, used in many mathematical and scientific applications. The rank of a matrix A is the maximum number of linearly independent columns of A; or, it is the order...

Rank is an important property of a matrix, used in many mathematical and scientific applications. The rank of a matrix A is the maximum number of linearly independent columns of A; or, it is the order of the largest nonsingular matrix contained in A.

Find the rank of the following matrices:

C = [3,0,0; 1,2,0; 0,0,1]