GATE IN 2022 | Question: 14

Question

Given $\text{M} = \begin{bmatrix} 2 & 3 & 7 \\ 6 & 4 & 7 \\ 4 & 6 & 14 \end{bmatrix},$ Which of the following statement(s) is/are correct?

• A. The rank of $\text{M}$ is $2$
• B. The rank of $\text{M}$ is $3$
• C. The rows of $\text{M}$ are linearly independent
• D. The determinant of $\text{M}$ is $0$