Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

The rank of the matrix $A =\begin{bmatrix}1&2&3\\3&6&9\\1&2&3\end{bmatrix}$, is

Options:

1

2

3

none of these

Correct Answer:

1

Explanation:

We observe that $|A|=0$ and every square sub-matrix of order 2 is singular. But, A is a non-null matrix. Therefore, $r (A) = 1$.