Question

If \( A = \begin{pmatrix} 1 & 2
3 & 1 \end{pmatrix} \), then rank \( A \) is

• A. 4
• B. 2
• C. 1
• D. 3

Hint:

The rank of a matrix is determined by the number of linearly independent rows or columns.

Answer 1

The Correct Option is C

To find the rank of matrix \( A \), we calculate its determinant. Since the determinant is non-zero, the matrix has rank 1.