Statement 1: The rank of  is 3 |
Statement 2: The determinant of the matrix  is not equal to zero. |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
C) Statement-1 is true, Statement-2 is false.
D) Statement-1 is false, Statement-2 is true.
Correct Answer: B
Solution :
\[\left| \begin{matrix} 1 & 4 & -1 \\ 2 & 3 & 0 \\ 0 & 1 & 2 \\ \end{matrix} \right|=1[6]-4[4]-1[2]\ne 0\] \[\therefore \]Rank = 3
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