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GATE 2019 EE – Question 34

Engineering Mathematics · Linear Algebra: Matrix Algebra · 1 mark · Numerical answer

The rank of the matrix $M=\begin{bmatrix}0&1&1\\1&0&1\\1&1&0\end{bmatrix}$ is ________.

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Correct answer: 3

Explanation

The determinant is $0(0-1)-1(0-1)+1(1-0)=2\ne0$, so the matrix has full rank, 3.