Multiple Choice Questions on Find the rank of matrix ........ for NDA Exam Preparation

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Multiple Choice Questions

Find the rank of matrix ........

Mathematics (NDA) Matrices and Determinants
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Find the rank of matrix=\begin{bmatrix} 4 & 2 & 1\\ 6 & 3 & 4\\ 2 & 1 & 0 \end{bmatrix}?

3

Incorrect Answer

2

Correct Answer

4

Incorrect Answer

6

Incorrect Answer
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Explanation:

\begin{vmatrix} 4 & 2 & 1\\ 6& 3 & 4\\ 2 &1 & 0 \end{vmatrix}

=4 (0-4)-2(0-8)+1(6-6)

=-16 +16+0

=0

Taking  \begin{vmatrix} 4 &2 \\ 6 & 3 \end{vmatrix}

 =12-12=0

Taking  \begin{vmatrix} 2 &1 \\ 3 & 4 \end{vmatrix}

=8-3

=5

Rank 2

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