What could be the rank R of a matrix Am × n, if m < n, and A is not a null matrix?

What could be the rank R of a matrix Am × n, if m < n, and A is not a null matrix? Correct Answer 1 &lt; R ≤ m

Properties of Rank of a matrix

• The rank (R) of a null or zero matrix is always zero.
• The rank (R) of a non-zero matrix is always non–zero value.
• The rank (R) of a non-singular matrix is equal to its order.
• Let is a matrix

           If |A| = 0, then is a singular matrix

          If ≠ 0, then is a non-singular matrix

• The rank (R) of a singular matrix is always less than its order.
• If is a matrix of order ‘m x n’ then its rank is given by

R (A) ≤ min {m,n}

Hence the rank (R) of a matrix A_{m × n} is given by (1 < R ≤ m)

Where m < n, and A is not a null matrix